Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
type: Item
instance of: scholarly article
title: Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
zbMATH Open document ID: 1380.11020
DOI: 10.1186/1687-1847-2013-116
author: Mehmet Ali Özarslan
published in: Advances in Difference Equations
publication date: 2018-01-31T00:00:00Z
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 6832726
zbMATH Keywords: Hermite-based Apostol-Bernoulli polynomials
zbMATH Keywords: Hermite-based Apostol-Euler polynomials
zbMATH Keywords: Hermite-based Apostol-Genocchi polynomials
zbMATH Keywords: generalized sum of integer powers
zbMATH Keywords: generalized sum of alternative integer powers
Wikidata QID: Q59292717
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2013-116
OpenAlex ID: W2159190998
cites work: Hermite-based Appell polynomials: Properties and applications
cites work: Unified Apostol-Bernoulli, Euler and Genocchi polynomials
cites work: A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
cites work: On the Apostol-Bernoulli polynomials
cites work: Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
cites work: Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
cites work: Some formulas for the Bernoulli and Euler polynomials at rational arguments
cites work: Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
cites work: Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
cites work: Q3637653
cites work: Genocchi polynomials associated with the umbral algebra
cites work: Q4648913
cites work: On the unification of Bernoulli and Euler polynomials
cites work: Q3406790
cites work: The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
cites work: Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
cites work: A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
cites work: Complete sum of products of (h,q)-extension of Euler polynomials and numbers
cites work: Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
cites work: Twisted \(p\)-adic \((h,q)\)-\(L\)-functions
cites work: Series associated with the zeta and related functions
cites work: Q3021451
cites work: A new generalization of the Bernoulli and related polynomials
cites work: Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
cites work: Several identities for the generalized Apostol-Bernoulli polynomials
cites work: Stirling's Series and Bernoulli Numbers
cites work: Q3577356
cites work: A Symmetry of Power Sum Polynomials and Bernoulli Numbers
cites work: An identity of symmetry for the Bernoulli polynomials
cites work: Some families of generating functions for a certain class of three-variable polynomials
cites work: Q3319049
description: scientific article; zbMATH DE number 6832726