Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials

DOI10.1016/j.amc.2015.03.132zbMath1410.11016OpenAlexW273849276MaRDI QIDQ1663379

Yuan He, Mehmet Acikgoz, Serkan Araci, Hari M. Srivastava

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.132

zbMATH Keywords

recurrence relationsApostol-Bernoulli polynomialsApostol-Genocchi numbersApostol-Genocchi polynomialsconvolution formulasApostol-Bernoulli numbers

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (28)

A new generalization of Apostol-type Laguerre-Genocchi polynomials ⋮ Some new formulas for the products of the Apostol type polynomials ⋮ Sums of finite products of Genocchi functions ⋮ Truncated-exponential-based Frobenius-Euler polynomials ⋮ A unified family of multivariable Legendre poly-Genocchi polynomials ⋮ Some explicit formulas for the generalized Frobenius-Euler polynomials of higher order ⋮ Construction of a new family of Fubini-type polynomials and its applications ⋮ Fractional calculus and families of generalized Legendre-Laguerre-Appell polynomials ⋮ Summation formulas for the products of the Frobenius-Euler polynomials ⋮ A generalization of the array type polynomials ⋮ Unnamed Item ⋮ Nonlinear differential equations arising from Boole numbers and their applications ⋮ A note on polynomial expressions for sums of power of integers multiplied by exponential terms ⋮ On degenerate Apostol-type polynomials and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials ⋮ A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums ⋮ Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials ⋮ Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c ⋮ Some new identities involving Sheffer-Appell polynomial sequences via matrix approach ⋮ Unnamed Item ⋮ A parametric kind of the Fubini-type polynomials ⋮ On generating functions for the special polynomials ⋮ A note on the truncated-exponential based Apostol-type polynomials ⋮ Unnamed Item ⋮ Unified (p,q)-analog of Aspostol type polynomials of order α ⋮ Fourier expansions for higher-order Apostol-Genocchi, Apostol-Bernoulli and Apostol-Euler polynomials

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