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Advances in Difference Equations

, 2016:287

First Online: 10 November 2016Received: 27 September 2016Accepted: 27 October 2016

Abstract

In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree. Inspired by their work, in this paper, we establish some new formulas for such a kind of sums of the products of an arbitrary number of the Apostol-Bernoulli, Euler, and Genocchi polynomials by making use of the generating function methods and summation transform techniques. The results derived here are generalizations of the corresponding known formulas involving the classical Bernoulli, Euler, and Genocchi polynomials.

KeywordsApostol-Bernoulli polynomials Apostol-Euler polynomials Apostol-Genocchi polynomials summation formulas recurrence relations MSC11B68 05A19  Download fulltext PDF



Autor: Yuan He - Serkan Araci - HM Srivastava

Fuente: https://link.springer.com/







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