New Convolution Identities for Hypergeometric Bernoulli Polynomials

2014/01/13 by Hieu D. Nguyen, Nguyen, Hieu D., Long G. Cheong +1
Mathematics · #11B68 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68

paper · pdf · doi:10.48550/arxiv.1401.2970

14 pages

arxiv created 2014/01/13 · arxiv updated 2014/01/14

Abstract

New convolution identities of hypergeometric Bernoulli polynomials are presented. Two different approaches to proving these identities are discussed, corresponding to the two equivalent definitions of hypergeometric Bernoulli polynomials as Appell sequences.

Related

• General Convolution Identities for Bernoulli and Euler Polynomials
• Convolution identities for scale transformations of Appell polynomials
• On hypergeometric Bernoulli numbers and polynomials
• Closed form expressions for Appell polynomials
• Several properties of hypergeometric Bernoulli numbers