Identity for generalized Bernoulli polynomials
Redha Chellal, Farid Bencherif, Mohamed Mehbali
TL;DR
This paper establishes a new identity for generalized Bernoulli polynomials, extending classical relations and generalizing recent identities like Gessel's, thereby enriching the theoretical framework of Bernoulli polynomials.
Contribution
It introduces a novel identity for generalized Bernoulli polynomials and extends existing relations, including a recent Gessel identity.
Findings
Derived a new identity for generalized Bernoulli polynomials
Generalized classical Bernoulli relations
Extended Gessel's identity to broader context
Abstract
In this paper, we establish an identity for Bernoulli's generalized polynomials. We deduce generalizations for many relations involving classical Bernoulli numbers or polynomials. In particular, we generalize a recent Gessel identity.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Mathematical functions and polynomials