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Mediterranean Journal of Mathematics, ISSN 1660-5446, 04/2016, Volume 13, Issue 2, pp. 517 - 526
Journal Article
Osaka Journal of Mathematics, ISSN 0030-6126, 06/2011, Volume 48, Issue 2, pp. 291 - 309
We extend the Genocchi polynomials and investigate their Fourier expansions and integral representations. We obtain their formulas at rational arguments in... 
MATHEMATICS | APOSTOL-EULER POLYNOMIALS | BERNOULLI | 11B83 | 42A16 | 33E20 | 11M35 | 33C05
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 02/2019, Volume 347, pp. 330 - 342
In this paper, we investigate the integral of for natural numbers and . In doing so, we recover some well-known results and remark on some relations to the... 
Riemann zeta function | Bell polynomial | Binomial coefficients | Combinatorics | Harmonic numbers | Log-sine integral | MATHEMATICS, APPLIED | Mathematics - Number Theory
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 9
Some properties of a new class of binary symmetric mean Mp(a,b) $M_{p} (a,b)$ which depends on two positive numbers a and b, as well as a positive parameter p,... 
40A30 | Series | Means | Bounded | 33E20 | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Convergence | Arithmetic | MATHEMATICS | MATHEMATICS, APPLIED | Parameters
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 07/2018, Volume 29, Issue 7, pp. 571 - 579
Representations, differentiation formulas, series expansions and other relations for the exponential polynomials are given. 
integrals | Special functions | 33E20 | exponential polynomial | series | differentiation formulas | MATHEMATICS | MATHEMATICS, APPLIED | Polynomials
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 03/2016, Volume 45, Issue 5, pp. 1550 - 1563
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 12/2018, Volume 29, Issue 12, pp. 971 - 978
In this paper, sharp lower and upper bounds for the branch of Lambert W function are provided by means of functional analysis methods and monotonicity... 
inequalities | Lambert W function | 26A48 | 33E20 | monotonicity properties | 26D07 | MATHEMATICS | MATHEMATICS, APPLIED | APPROXIMATIONS | INFILTRATION | Upper bounds | Functional analysis
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2000, Volume 118, Issue 1, pp. 283 - 299
We review a variety of fractional evolution processes (so defined being governed by equations of fractional order), whose solutions turn out to be related to... 
Integro-differential equations | Mittag-Leffler functions | Integrals and derivatives of fractional order | 45J05 | 33E20 | 26A33 | MATHEMATICS, APPLIED | integrals and derivatives of fractional order | EQUATION | integro-differential equations
Journal Article
Journal of Difference Equations and Applications, ISSN 1023-6198, 07/2019, Volume 25, Issue 7, pp. 1007 - 1023
In this paper, by the Faà di Bruno formula, we establish the decompositions of two general fractions involving the reciprocals of products of binomial... 
Euler-type sums | 33B99 | binomial coefficients | 33E20 | 11M32 | Riemann zeta function | 40A05 | 11M06 | harmonic numbers | MATHEMATICS, APPLIED | SERIES | IDENTITIES | DUALITY | EULER SUMS | Binomial coefficients | Decomposition | Sums
Journal Article
Sankhya A, ISSN 0976-836X, 8/2017, Volume 79, Issue 2, pp. 355 - 383
van de Geer and Lederer (Probab. Theory Related Fields 157(1-2), 225–250, 2013) introduced a new Orlicz norm, the Bernstein-Orlicz norm, which is connected to... 
Statistics and Computing/Statistics Programs | 60F10 | Secondary: 60G50 | 33E20 | Bennett’s inequality | Prokhorov’s inequality | Statistical Theory and Methods | Statistics, general | Maximal inequality | Statistics | Poisson | Primary: 60E15 | Orlicz norm | Exponential bound | Secondary: 60G50, 33E20 | Primary: 60E15, 60F10
Journal Article
Arabian Journal of Mathematics, ISSN 2193-5343, 03/2019, Volume 8, Issue 1, pp. 63 - 77
In this article, the authors establish the recurrence relations and q-difference equations for the 2-iterated q-Appell polynomials. The recurrence relations... 
Difference equations | Mathematical analysis | Polynomials | 33E20 | 33D99 | 33D45
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 08/2019, Volume 30, Issue 8, pp. 656 - 681
In this paper, by using residue method, we obtain the representations of some basic linear generalized Euler sums with parameters. Based on the linear... 
33E20 | Euler sums | Riemann zeta function | digamma function | 40A05 | 11M06 | Lerch transcendent | polylogarithm function | Hurwitz zeta function | MATHEMATICS | MATHEMATICS, APPLIED | Parameters | Representations | Sums
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 07/2017, Volume 28, Issue 7, pp. 547 - 559
We introduce an integral transform which may be used to construct new closed-form formulas for series involving alternating harmonic numbers, such as the... 
Primary: 33E20 | integral transform | Ramanujan-like series | harmonic number | Alternating harmonic number | Secondary: 33B15 | MATHEMATICS | MATHEMATICS, APPLIED | Integral transforms
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 01/2019, Volume 30, Issue 1, pp. 55 - 82
In this paper, by choosing different kernel functions and base functions, we obtain some Euler sums with parameters. Moreover, we also obtain the new Euler... 
33E20 | Euler sums | Riemann zeta function | 40A05 | 11M06 | Lerch transcendent | polylogarithm function | MATHEMATICS | MATHEMATICS, APPLIED | IDENTITIES | Parameters | Kernel functions | Mathematical analysis | Sums
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 10/2018, Volume 21, Issue 5, pp. 1156 - 1169
In this paper we survey the properties of the Schelkunoff modification of the Exponential integral and we generalize it with the Mittag-Leffler function. So... 
33E12 | 74D05 | 33E20 | 44A10 | Mittag-Leffler function | 26A33 | linear viscoelasticity | Laplace transform | completely monotonicity | Exponential integral | Viscoelasticity | Trigonometric functions | Integrals
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2019, Volume 2019, Issue 1, pp. 1 - 13
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 07/2018, Volume 29, Issue 7, pp. 514 - 526
In this paper we study the Fock-type space of analytic functions on the plane, invariant with respect to rotations of the plane by , with weight generated in a... 
Toeplitz and Hankel operators | Fock-type spaces | 33E30 | Heisenberg-type uncertainty principle | 33E20 | minimizer functions | MATHEMATICS | MATHEMATICS, APPLIED | Operators (mathematics) | Analytic functions | Mathematical analysis
Journal Article
Results in Mathematics, ISSN 1422-6383, 3/2019, Volume 74, Issue 1, pp. 1 - 12
We calculate the derivative of the $$\mathrm {ber}_{\nu }$$ berν , $$\,\mathrm {bei} _{\nu }$$ beiν , $$\mathrm {ker}_{\nu }$$ kerν , and $$\,\mathrm... 
bessel functions | 33C10 | 33E20 | Kelvin functions | generalized hypergeometric function | 33C20 | Mathematics, general | Mathematics | meijer- G function | meijer-G function | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Afrika Matematika, ISSN 1012-9405, 11/2019, Volume 30, Issue 7, pp. 1267 - 1274
Fractional calculus has gained more attention during the last decade due to their effectiveness and potential applicability in various problems of mathematics... 
33E20 | 26A33 | Struve function | Mathematics, general | Mathematics Education | Mathematics | History of Mathematical Sciences | Applications of Mathematics | Fractional calculus | mathtt {k}$$ k -Struve functions | Pathway integral
Journal Article
Reports on Mathematical Physics, ISSN 0034-4877, 06/2018, Volume 81, Issue 3, pp. 385 - 397
In this article, the discrete Bessel and Tricomi convolutions of the Laguerre-Gould-Hopper polynomials are introduced. Some important properties including... 
operational rules | Jacobi-Anger expansion | 33C45 | 33C10 | 33E20 | Laguerre-Gould-Hopper polynomials | Tricomi functions | Bessel functions | GENERALIZED POLYNOMIALS | FAMILIES | Operational rules | HERMITE-POLYNOMIALS | PHYSICS, MATHEMATICAL | Family
Journal Article
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