Computers and Mathematics with Applications, ISSN 0898-1221, 2006, Volume 51, Issue 3, pp. 631 - 642

Recently, Srivastava and Pintér [1] investigated several interesting properties and relationships involving the classical as well as the generalized (or...

Euler polynomials and numbers | ernoulli polynomials and numbers | Generalized (or higher-order) Euler polynomials and numbers, Apostol-Bernoulli polynomials and numbers, Apostol-Euler polynomials and numbers, Generalized Apostol-Bernoulli polynomials and numbers, Generalized Apostol-Euler polynomials and numbers, Stirling numbers of the second kind, Generating functions, Srivastava-Pintér addition theorems, Recursion formulas | Generalized (or higher-order) Bernoulli polynomials and numbers | Generalized (or higher-order) Euler polynomials and numbers, Apostol-Bernoulli polynomials and numbers, Apostol-Euler polynomials and numbers, Generalized Apostol-Bernoulli polynomials and numbers, Generalized Apostol-Euler polynomials and numbers | Bernoulli polynomials and numbers | MATHEMATICS, APPLIED | generalized (or higher-order) Euler polynomials and numbers | stirling numbers of the second kind | generalized Apostol-Bernoulli polynomials and numbers | Srivastava-Pinter addition theorems | generating functions | generalized (or higher-order) Bernoulli polynomials and numbers | generalized Apostol-Euler polynomials and numbers | recursion formulas | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Apostol-Euler polynomials and numbers | Apostol-Bernoulli polynomials and numbers | Mathematical models

Euler polynomials and numbers | ernoulli polynomials and numbers | Generalized (or higher-order) Euler polynomials and numbers, Apostol-Bernoulli polynomials and numbers, Apostol-Euler polynomials and numbers, Generalized Apostol-Bernoulli polynomials and numbers, Generalized Apostol-Euler polynomials and numbers, Stirling numbers of the second kind, Generating functions, Srivastava-Pintér addition theorems, Recursion formulas | Generalized (or higher-order) Bernoulli polynomials and numbers | Generalized (or higher-order) Euler polynomials and numbers, Apostol-Bernoulli polynomials and numbers, Apostol-Euler polynomials and numbers, Generalized Apostol-Bernoulli polynomials and numbers, Generalized Apostol-Euler polynomials and numbers | Bernoulli polynomials and numbers | MATHEMATICS, APPLIED | generalized (or higher-order) Euler polynomials and numbers | stirling numbers of the second kind | generalized Apostol-Bernoulli polynomials and numbers | Srivastava-Pinter addition theorems | generating functions | generalized (or higher-order) Bernoulli polynomials and numbers | generalized Apostol-Euler polynomials and numbers | recursion formulas | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Apostol-Euler polynomials and numbers | Apostol-Bernoulli polynomials and numbers | Mathematical models

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2005, Volume 308, Issue 1, pp. 290 - 302

The main object of this paper is to give analogous definitions of Apostol type (see [T.M. Apostol, On the Lerch Zeta function, Pacific J. Math. 1 (1951)...

Apostol–Euler polynomials of higher order | Hurwitz–Lerch and Lipschitz–Lerch Zeta functions | Hurwitz (or generalized) Zeta function | Apostol–Bernoulli polynomials | Apostol–Bernoulli polynomials of higher order | Bernoulli polynomials | Apostol–Euler polynomials | Gaussian hypergeometric function | Stirling numbers of the second kind | Lerch's functional equation | Hurwitz-Lerch and Lipschitz-Lerch Zeta functions | Apostol-Bernoulli polynomials of higher order | Apostol-Euler polynomials | Apostol-Euler polynomials of higher order | Apostol-Bernoulli polynomials | MATHEMATICS, APPLIED | stirling numbers of the second kind | Apostol-Bemoulli polynomials | MATHEMATICS | EXPLICIT FORMULA | RATIONAL ARGUMENTS | Apostol-Bemoulli polynomials of higher order

Apostol–Euler polynomials of higher order | Hurwitz–Lerch and Lipschitz–Lerch Zeta functions | Hurwitz (or generalized) Zeta function | Apostol–Bernoulli polynomials | Apostol–Bernoulli polynomials of higher order | Bernoulli polynomials | Apostol–Euler polynomials | Gaussian hypergeometric function | Stirling numbers of the second kind | Lerch's functional equation | Hurwitz-Lerch and Lipschitz-Lerch Zeta functions | Apostol-Bernoulli polynomials of higher order | Apostol-Euler polynomials | Apostol-Euler polynomials of higher order | Apostol-Bernoulli polynomials | MATHEMATICS, APPLIED | stirling numbers of the second kind | Apostol-Bemoulli polynomials | MATHEMATICS | EXPLICIT FORMULA | RATIONAL ARGUMENTS | Apostol-Bemoulli polynomials of higher order

Journal Article

The Ramanujan Journal, ISSN 1382-4090, 5/2018, Volume 46, Issue 1, pp. 103 - 117

In this note, we shall obtain two closed forms for the Apostol–Bernoulli polynomials.

Fourier Analysis | Functions of a Complex Variable | Apostol–Bernoulli polynomials | Field Theory and Polynomials | Closed forms | 05A19 | Mathematics | Number Theory | Combinatorics | Stirling numbers | 11B68 | MATHEMATICS | FOURIER EXPANSIONS | HIGHER-ORDER | EULER POLYNOMIALS | GENOCCHI POLYNOMIALS | Q-EXTENSIONS | INTEGRAL-REPRESENTATIONS | FORMULAS | Apostol-Bernoulli polynomials | SUMS

Fourier Analysis | Functions of a Complex Variable | Apostol–Bernoulli polynomials | Field Theory and Polynomials | Closed forms | 05A19 | Mathematics | Number Theory | Combinatorics | Stirling numbers | 11B68 | MATHEMATICS | FOURIER EXPANSIONS | HIGHER-ORDER | EULER POLYNOMIALS | GENOCCHI POLYNOMIALS | Q-EXTENSIONS | INTEGRAL-REPRESENTATIONS | FORMULAS | Apostol-Bernoulli polynomials | SUMS

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 2017, Volume 22, Issue 5, pp. 789 - 811

Carlitz introduced the degenerate Bernoulli polynomials and derived, among other things, the so-called degenerate Staudt-Clausen theorem for the degenerate...

Umbral calculus | Higher-order degenerate bernoulli polynomial | COMPUTER SCIENCE, THEORY & METHODS | Higher-order degenerate Bernoulli polynomial | EULER | SUMS

Umbral calculus | Higher-order degenerate bernoulli polynomial | COMPUTER SCIENCE, THEORY & METHODS | Higher-order degenerate Bernoulli polynomial | EULER | SUMS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2015, Volume 431, Issue 1, pp. 34 - 46

We perform a further investigation for the Apostol–Bernoulli and Apostol–Euler polynomials and numbers. By making use of an elementary idea used by Euler in...

Recurrence formulae | Apostol–Bernoulli polynomials and numbers | Apostol–Euler polynomials and numbers | Convolution formulae | A postol-Bernoulli polynomials and numbers | Apostol-Euler polynomials and numbers | MATHEMATICS | MATHEMATICS, APPLIED | HIGHER-ORDER | IDENTITIES | Apostol-Bernoulli polynomials and numbers | FORMULAS

Recurrence formulae | Apostol–Bernoulli polynomials and numbers | Apostol–Euler polynomials and numbers | Convolution formulae | A postol-Bernoulli polynomials and numbers | Apostol-Euler polynomials and numbers | MATHEMATICS | MATHEMATICS, APPLIED | HIGHER-ORDER | IDENTITIES | Apostol-Bernoulli polynomials and numbers | FORMULAS

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 2011, Volume 24, Issue 11, pp. 1888 - 1893

The main purpose of this paper is to introduce and investigate a new class of generalized Apostol–Bernoulli polynomials based on a definition given by Natalini...

Generalized Euler polynomials | Generalized Apostol–Bernoulli polynomials | Generalized Apostol–Euler polynomials | Stirling numbers of the second kind | Generating functions | Generalized Bernoulli polynomials | Generalized Apostol-Bernoulli polynomials | Generalized ApostolEuler polynomials | MATHEMATICS, APPLIED | HIGHER-ORDER | EULER POLYNOMIALS | HURWITZ ZETA-FUNCTION | Generalized Apostol-Euler polynomials | FORMULAS | Heterocyclic compounds | Analogue | Lists | Mathematical analysis | Addition theorem

Generalized Euler polynomials | Generalized Apostol–Bernoulli polynomials | Generalized Apostol–Euler polynomials | Stirling numbers of the second kind | Generating functions | Generalized Bernoulli polynomials | Generalized Apostol-Bernoulli polynomials | Generalized ApostolEuler polynomials | MATHEMATICS, APPLIED | HIGHER-ORDER | EULER POLYNOMIALS | HURWITZ ZETA-FUNCTION | Generalized Apostol-Euler polynomials | FORMULAS | Heterocyclic compounds | Analogue | Lists | Mathematical analysis | Addition theorem

Journal Article

Journal of Nonlinear Science and Applications, ISSN 2008-1898, 2016, Volume 9, Issue 5, pp. 2697 - 2704

In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher...

Bernoulli polynomials of higher order | Generating function | Euler polynomials of higher order | Apostol-Bernoulli polynomials of higher order | Hermite polynomials | Identities | Apostol-Euler polynomials of higher order | MATHEMATICS, APPLIED | NUMBERS | Q-EXTENSIONS | MATHEMATICS | ZETA-FUNCTION | identities | EULER POLYNOMIALS | THEOREMS | GENOCCHI POLYNOMIALS | FORMULAS

Bernoulli polynomials of higher order | Generating function | Euler polynomials of higher order | Apostol-Bernoulli polynomials of higher order | Hermite polynomials | Identities | Apostol-Euler polynomials of higher order | MATHEMATICS, APPLIED | NUMBERS | Q-EXTENSIONS | MATHEMATICS | ZETA-FUNCTION | identities | EULER POLYNOMIALS | THEOREMS | GENOCCHI POLYNOMIALS | FORMULAS

Journal Article

Georgian Mathematical Journal, ISSN 1072-947X, 06/2015, Volume 22, Issue 2, pp. 265 - 272

In this paper, we consider higher-order Bernoulli and poly-Bernoulli mixed type polynomials and give some interesting identities for the polynomials arising...

11B83 | 05A40 | 11B68 | umbral calculus | Higher-order Bernoulli and poly-Bernoulli mixed type polynomial | MATHEMATICS

11B83 | 05A40 | 11B68 | umbral calculus | Higher-order Bernoulli and poly-Bernoulli mixed type polynomial | MATHEMATICS

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2016, Volume 2016, Issue 1, pp. 1 - 21

We derive a new matrix representation for higher-order Daehee numbers and polynomials, higher-order λ-Daehee numbers and polynomials, and twisted λ-Daehee...

Daehee numbers | 11C20 | Mathematics | 11T06 | Daehee polynomials | Ordinary Differential Equations | higher-order Bernoulli polynomials | Functional Analysis | higher-order Daehee polynomials | Analysis | 11B73 | Difference and Functional Equations | higher-order Daehee numbers | Mathematics, general | 05A19 | matrix representation | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | EXPLICIT FORMULAS | Binomial distribution | Polynomials | Differential equations | Tests, problems and exercises | Mathematical models | Difference equations | Matrix representation | Formulas (mathematics)

Daehee numbers | 11C20 | Mathematics | 11T06 | Daehee polynomials | Ordinary Differential Equations | higher-order Bernoulli polynomials | Functional Analysis | higher-order Daehee polynomials | Analysis | 11B73 | Difference and Functional Equations | higher-order Daehee numbers | Mathematics, general | 05A19 | matrix representation | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | EXPLICIT FORMULAS | Binomial distribution | Polynomials | Differential equations | Tests, problems and exercises | Mathematical models | Difference equations | Matrix representation | Formulas (mathematics)

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 05/2009, Volume 20, Issue 5, pp. 377 - 391

This article obtains the multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order and deduces some explicit recursive...

Raabe's multiplication formula | multinomial identity | Apostol-Bernoulli numbers and polynomials (of higher order) | Euler numbers and polynomials (of higher order) | multiplication formula | Primary: 11B68 | Bernoulli numbers and polynomials (of higher order) | λ-multiple power sum and λ-multiple alternating sum | Secondary: 05A10 | generalized multinomial identity | power sum and alternating sum | Apostol-Euler numbers and polynomials (of higher order) | 05A15 | Generalized multinomial identity | Multiplication formula | Multinomial identity | Power sum and alternating sum | MATHEMATICS, APPLIED | NUMBERS | MATHEMATICS | multiple power sum and -multiple alternating sum

Raabe's multiplication formula | multinomial identity | Apostol-Bernoulli numbers and polynomials (of higher order) | Euler numbers and polynomials (of higher order) | multiplication formula | Primary: 11B68 | Bernoulli numbers and polynomials (of higher order) | λ-multiple power sum and λ-multiple alternating sum | Secondary: 05A10 | generalized multinomial identity | power sum and alternating sum | Apostol-Euler numbers and polynomials (of higher order) | 05A15 | Generalized multinomial identity | Multiplication formula | Multinomial identity | Power sum and alternating sum | MATHEMATICS, APPLIED | NUMBERS | MATHEMATICS | multiple power sum and -multiple alternating sum

Journal Article

Integral Transforms and Special Functions, ISSN 1065-2469, 11/2006, Volume 17, Issue 11, pp. 803 - 815

The main object of this paper is to further investigate the generalized Apostol-Bernoulli polynomials of higher order, which were introduced and studied...

Apostol-Bernoulli numbers of higher order | Lerch's functional equation (or Lerch's transformation formula) | Hurwitz-Lerch and Lipschitz-Lerch Zeta functions | Hurwitz (or generalized) Zeta function | Apostol-Bernoulli polynomials of higher order | Bernoulli numbers of higher order | Bernoulli polynomials | Apostol-Euler polynomials of higher order | Apostol-Bernoulli polynomials | MATHEMATICS | MATHEMATICS, APPLIED | EULER POLYNOMIALS

Apostol-Bernoulli numbers of higher order | Lerch's functional equation (or Lerch's transformation formula) | Hurwitz-Lerch and Lipschitz-Lerch Zeta functions | Hurwitz (or generalized) Zeta function | Apostol-Bernoulli polynomials of higher order | Bernoulli numbers of higher order | Bernoulli polynomials | Apostol-Euler polynomials of higher order | Apostol-Bernoulli polynomials | MATHEMATICS | MATHEMATICS, APPLIED | EULER POLYNOMIALS

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 8

In this paper, we consider the degenerate poly-Bernoulli polynomials and present new and explicit formulas for computing them in terms of the degenerate...

degenerate poly-Bernoulli polynomial | Mathematics | 11B68 | Ordinary Differential Equations | Functional Analysis | 11B83 | Analysis | degenerate Bernoulli polynomial | 11B73 | Difference and Functional Equations | Mathematics, general | Stirling number of the second kind | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | HIGHER-ORDER | IDENTITIES | EULER POLYNOMIALS | Polynomials | Difference equations | Computation | Formulas (mathematics) | Combinatorial analysis

degenerate poly-Bernoulli polynomial | Mathematics | 11B68 | Ordinary Differential Equations | Functional Analysis | 11B83 | Analysis | degenerate Bernoulli polynomial | 11B73 | Difference and Functional Equations | Mathematics, general | Stirling number of the second kind | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | HIGHER-ORDER | IDENTITIES | EULER POLYNOMIALS | Polynomials | Difference equations | Computation | Formulas (mathematics) | Combinatorial analysis

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 199, Issue 2, pp. 723 - 737

In this paper, we first investigate several further interesting properties of the multiple Hurwitz–Lerch Zeta function Φ n ( z, s, a) which was introduced...

q-Extensions of the Apostol–Bernoulli and the Apostol–Euler polynomials and numbers of higher order | Multiple Gamma functions | Multiple Hurwitz–Lerch Zeta function | Riemann Zeta function | Gamma function | Hurwitz–Lerch Zeta function | Series associated with the Zeta function | Hurwitz Zeta function | Hurwitz-Lerch Zeta function | Multiple Hurwitz-Lerch Zeta function | q-Extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials and numbers of higher order | MATHEMATICS, APPLIED | NUMBERS | q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials and numbers of higher order | Q-ANALOGS | DETERMINANTS | GAMMA-FUNCTIONS | gamma function | SUMS | multiple Hurwitz-Lerch Zeta function | FAMILIES | DIRICHLET SERIES | series associated with the Zeta function | FORMULAS | multiple Gamma functions

q-Extensions of the Apostol–Bernoulli and the Apostol–Euler polynomials and numbers of higher order | Multiple Gamma functions | Multiple Hurwitz–Lerch Zeta function | Riemann Zeta function | Gamma function | Hurwitz–Lerch Zeta function | Series associated with the Zeta function | Hurwitz Zeta function | Hurwitz-Lerch Zeta function | Multiple Hurwitz-Lerch Zeta function | q-Extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials and numbers of higher order | MATHEMATICS, APPLIED | NUMBERS | q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials and numbers of higher order | Q-ANALOGS | DETERMINANTS | GAMMA-FUNCTIONS | gamma function | SUMS | multiple Hurwitz-Lerch Zeta function | FAMILIES | DIRICHLET SERIES | series associated with the Zeta function | FORMULAS | multiple Gamma functions

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 02/2011, Volume 217, Issue 12, pp. 5702 - 5728

Recently, the authors introduced some generalizations of the Apostol–Bernoulli polynomials and the Apostol–Euler polynomials (see [Q.-M. Luo, H.M. Srivastava,...

Lerch’s functional equation | Hurwitz (or generalized), Hurwitz–Lerch and Lipschitz–Lerch zeta functions | Srivastava’s formula and Gaussian hypergeometric function | Genocchi numbers and Genocchi polynomials of higher order | Stirling numbers and the λ-Stirling numbers of the second kind | Apostol–Genocchi numbers and Apostol–Genocchi polynomials of higher order | Apostol–Bernoulli polynomials and Apostol–Euler polynomials of higher order | Apostol–Genocchi numbers and Apostol–Genocchi polynomials | Apostol-Bernoulli polynomials and Apostol-Euler polynomials of higher order | Srivastava's formula and Gaussian hypergeometric function | Hurwitz (or generalized), Hurwitz-Lerch and Lipschitz-Lerch zeta functions | Apostol-Genocchi numbers and Apostol-Genocchi polynomials | Apostol-Genocchi numbers and Apostol-Genocchi polynomials of higher order | Lerch's functional equation | FOURIER EXPANSIONS | MATHEMATICS, APPLIED | IDENTITIES | Q-EXTENSIONS | BERNOULLI | EXPLICIT FORMULA | ORDER | Stirling numbers and the lambda-Stirling numbers of the second kind | EULER POLYNOMIALS | INTEGRAL-REPRESENTATIONS | Hypergeometric functions | Analogue | Computation | Mathematical analysis | Gaussian | Mathematical models | Error correction | Representations

Lerch’s functional equation | Hurwitz (or generalized), Hurwitz–Lerch and Lipschitz–Lerch zeta functions | Srivastava’s formula and Gaussian hypergeometric function | Genocchi numbers and Genocchi polynomials of higher order | Stirling numbers and the λ-Stirling numbers of the second kind | Apostol–Genocchi numbers and Apostol–Genocchi polynomials of higher order | Apostol–Bernoulli polynomials and Apostol–Euler polynomials of higher order | Apostol–Genocchi numbers and Apostol–Genocchi polynomials | Apostol-Bernoulli polynomials and Apostol-Euler polynomials of higher order | Srivastava's formula and Gaussian hypergeometric function | Hurwitz (or generalized), Hurwitz-Lerch and Lipschitz-Lerch zeta functions | Apostol-Genocchi numbers and Apostol-Genocchi polynomials | Apostol-Genocchi numbers and Apostol-Genocchi polynomials of higher order | Lerch's functional equation | FOURIER EXPANSIONS | MATHEMATICS, APPLIED | IDENTITIES | Q-EXTENSIONS | BERNOULLI | EXPLICIT FORMULA | ORDER | Stirling numbers and the lambda-Stirling numbers of the second kind | EULER POLYNOMIALS | INTEGRAL-REPRESENTATIONS | Hypergeometric functions | Analogue | Computation | Mathematical analysis | Gaussian | Mathematical models | Error correction | Representations

Journal Article

Journal of Computational Analysis and Applications, ISSN 1521-1398, 2017, Volume 22, Issue 5, pp. 831 - 840

In this paper, we introduce new degenerate Bernoulli polynomials which are derived from umbral calculus and investigate some interesting properties of those...

Degenerate bernoulli polynomial | Umbral calculus | Higher-order degenerate bernoulli polynomial | Degenerate Bernoulli polynomial | COMPUTER SCIENCE, THEORY & METHODS | Higher-order degenerate Bernoulli polynomial

Degenerate bernoulli polynomial | Umbral calculus | Higher-order degenerate bernoulli polynomial | Degenerate Bernoulli polynomial | COMPUTER SCIENCE, THEORY & METHODS | Higher-order degenerate Bernoulli polynomial

Journal Article

Journal of Nonlinear Science and Applications, ISSN 2008-1898, 2016, Volume 9, Issue 6, pp. 4780 - 4797

We perform a further investigation for the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. By making use of the generating function methods...

Apostol-Bernoulli polynomials and numbers | Apostol-Euler polynomials and numbers | Combinatorial identities | Apostol-Genocchi polynomials and numbers | MATHEMATICS | FOURIER EXPANSIONS | HIGHER-ORDER | RECURRENCES | PRODUCTS | combinatorial identities | FORMULAS

Apostol-Bernoulli polynomials and numbers | Apostol-Euler polynomials and numbers | Combinatorial identities | Apostol-Genocchi polynomials and numbers | MATHEMATICS | FOURIER EXPANSIONS | HIGHER-ORDER | RECURRENCES | PRODUCTS | combinatorial identities | FORMULAS

Journal Article

Discrete Mathematics, ISSN 0012-365X, 2008, Volume 308, Issue 4, pp. 550 - 554

The main purpose of this paper is to prove an identity of symmetry for the higher order Bernoulli polynomials. It turns out that the recurrence relation and...

Power sum | Bernoulli number | Bernoulli polynomial | Higher order Bernoulli polynomials | Power sum polynomial | MATHEMATICS | power sum polynomial | higher order Bernoulli polynomials | NUMBERS | power sum | RECURRENCE

Power sum | Bernoulli number | Bernoulli polynomial | Higher order Bernoulli polynomials | Power sum polynomial | MATHEMATICS | power sum polynomial | higher order Bernoulli polynomials | NUMBERS | power sum | RECURRENCE

Journal Article

Discrete Dynamics in Nature and Society, ISSN 1026-0226, 2012, Volume 2012, pp. 1 - 15

Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting...

Q-EULER POLYNOMIALS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HIGHER-ORDER | MULTIDISCIPLINARY SCIENCES | Studies | Numbers | Polynomials | Dynamics | Integrals

Q-EULER POLYNOMIALS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HIGHER-ORDER | MULTIDISCIPLINARY SCIENCES | Studies | Numbers | Polynomials | Dynamics | Integrals

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 2011, Volume 62, Issue 9, pp. 3591 - 3602

A unification (and generalization) of various Apostol type polynomials was introduced and investigated recently by Luo and Srivastava [Q.-M. Luo,...

Generalized Apostol type polynomials | Generalized sum of integer powers | Generalized Apostol–Bernoulli polynomials | Genocchi polynomials of higher order | Generalized Apostol–Euler polynomials | Generalized alternating sum | Generalized ApostolBernoulli polynomials | Generalized ApostolEuler polynomials | FOURIER EXPANSIONS | MATHEMATICS, APPLIED | BERNOULLI | Generalized Apostol-Euler polynomials | Generalized Apostol-Bernoulli polynomials | ORDER | EULER POLYNOMIALS | GENOCCHI POLYNOMIALS | FORMULAS | Integers | Mathematical models | Mathematical analysis | Symmetry

Generalized Apostol type polynomials | Generalized sum of integer powers | Generalized Apostol–Bernoulli polynomials | Genocchi polynomials of higher order | Generalized Apostol–Euler polynomials | Generalized alternating sum | Generalized ApostolBernoulli polynomials | Generalized ApostolEuler polynomials | FOURIER EXPANSIONS | MATHEMATICS, APPLIED | BERNOULLI | Generalized Apostol-Euler polynomials | Generalized Apostol-Bernoulli polynomials | ORDER | EULER POLYNOMIALS | GENOCCHI POLYNOMIALS | FORMULAS | Integers | Mathematical models | Mathematical analysis | Symmetry

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 341, Issue 2, pp. 1295 - 1310

A construction of new sequences of generalized Bernoulli polynomials of first and second kind is proposed. These sequences share with the classical Bernoulli...

Finite operator theory | Appell sequences | Generalized Bernoulli polynomials | generalized Bernoulli polynomials | MATHEMATICS | MATHEMATICS, APPLIED | HIGHER-ORDER | NUMBERS | CALCULUS | DIFFERENCE-EQUATIONS | finite operator theory | KUMMER | CONGRUENCES | COMBINATORICS

Finite operator theory | Appell sequences | Generalized Bernoulli polynomials | generalized Bernoulli polynomials | MATHEMATICS | MATHEMATICS, APPLIED | HIGHER-ORDER | NUMBERS | CALCULUS | DIFFERENCE-EQUATIONS | finite operator theory | KUMMER | CONGRUENCES | COMBINATORICS

Journal Article

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