SYMMETRY-BASEL, ISSN 2073-8994, 08/2019, Volume 11, Issue 8, p. 1046

Recently, the degenerate lambda-Stirling polynomials of the second kind were introduced and investigated for their properties and relations. In this paper, we...

probability distribution | degenerate lambda-Stirling polynomials of the second kind | NUMBERS | r-truncated degenerate lambda-Stirling polynomials of the second kind | MULTIDISCIPLINARY SCIENCES | degenerate λ-Stirling polynomials of the second kind | r-truncated degenerate λ-Stirling polynomials of the second kind

probability distribution | degenerate lambda-Stirling polynomials of the second kind | NUMBERS | r-truncated degenerate lambda-Stirling polynomials of the second kind | MULTIDISCIPLINARY SCIENCES | degenerate λ-Stirling polynomials of the second kind | r-truncated degenerate λ-Stirling polynomials of the second kind

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 10/2014, Volume 244, pp. 149 - 157

The main objective in this paper is first to establish new identities for the λ-Stirling type numbers of the second kind, the λ-array type polynomials, the...

Bernoulli polynomials and Bernoulli numbers | Apostol–Bernoulli polynomials and Apostol–Bernoulli numbers | [formula omitted]-Stirling numbers of the second kind | [formula omitted]-Array polynomials | [formula omitted]-Bell numbers and [formula omitted]-Bell polynomials | λ-Bell numbers and λ-Bell polynomials | λ-Array polynomials | λ-Stirling numbers of the second kind | Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers | MATHEMATICS, APPLIED | lambda-Array polynomials | lambda-Stirling numbers of the second kind | lambda-Bell numbers and lambda-Bell polynomials | APOSTOL-BERNOULLI | GENERATING-FUNCTIONS | EULER

Bernoulli polynomials and Bernoulli numbers | Apostol–Bernoulli polynomials and Apostol–Bernoulli numbers | [formula omitted]-Stirling numbers of the second kind | [formula omitted]-Array polynomials | [formula omitted]-Bell numbers and [formula omitted]-Bell polynomials | λ-Bell numbers and λ-Bell polynomials | λ-Array polynomials | λ-Stirling numbers of the second kind | Apostol-Bernoulli polynomials and Apostol-Bernoulli numbers | MATHEMATICS, APPLIED | lambda-Array polynomials | lambda-Stirling numbers of the second kind | lambda-Bell numbers and lambda-Bell polynomials | APOSTOL-BERNOULLI | GENERATING-FUNCTIONS | EULER

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

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 28

The first aim of this paper is to construct new generating functions for the generalized λ-Stirling type numbers of the second kind, generalized array type...

Mathematical and Computational Biology | Euler polynomials | generating function | generalized Frobenius Euler polynomials | Mathematics | Topology | normalized polynomials | Apostol Bernoulli polynomials | functional equation | Analysis | array polynomials | Mathematics, general | Bernoulli polynomials | Applications of Mathematics | Differential Geometry | Stirling numbers of the second kind | Generating function | Normalized polynomials | Functional equation | Generalized Frobenius Euler polynomials | Array polynomials | REPRESENTATIONS | H | Q-EXTENSIONS | MATHEMATICS | ZETA | FAMILIES | APOSTOL-BERNOULLI | MULTIPLICATION FORMULAS | Technology application | Fixed point theory | Usage | Convergence (Mathematics) | Euler angles | Mathematics - Number Theory

Mathematical and Computational Biology | Euler polynomials | generating function | generalized Frobenius Euler polynomials | Mathematics | Topology | normalized polynomials | Apostol Bernoulli polynomials | functional equation | Analysis | array polynomials | Mathematics, general | Bernoulli polynomials | Applications of Mathematics | Differential Geometry | Stirling numbers of the second kind | Generating function | Normalized polynomials | Functional equation | Generalized Frobenius Euler polynomials | Array polynomials | REPRESENTATIONS | H | Q-EXTENSIONS | MATHEMATICS | ZETA | FAMILIES | APOSTOL-BERNOULLI | MULTIPLICATION FORMULAS | Technology application | Fixed point theory | Usage | Convergence (Mathematics) | Euler angles | Mathematics - Number Theory

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 02/2019, Volume 15, Issue 1, pp. 67 - 84

In this paper, we primarily consider a generalization of the fermionic p -adic q -integral on ℤ p including the parameters α and β and investigate its some...

p -adic Euler constant | p -adic gamma function | Stirling numbers of the first kind | Mahler expansion | q -Euler polynomials | q -calculus | p -adic q -integral | q -Changhee polynomials | Stirling numbers of the second kind | Changhee polynomials | p -adic number | MATHEMATICS | p-adic q-integral | p-adic number | p-adic gamma function | q-Changhee polynomials | p-adic Euler constant | q-Euler polynomials | q-calculus

p -adic Euler constant | p -adic gamma function | Stirling numbers of the first kind | Mahler expansion | q -Euler polynomials | q -calculus | p -adic q -integral | q -Changhee polynomials | Stirling numbers of the second kind | Changhee polynomials | p -adic number | MATHEMATICS | p-adic q-integral | p-adic number | p-adic gamma function | q-Changhee polynomials | p-adic Euler constant | q-Euler polynomials | q-calculus

Journal Article

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