On Some Explicit Formulas for Bernoulli Numbers and Polynomials

2011/06/26 by Lazhar Fekih‐Ahmed, Fekih-Ahmed, Lazhar · 1 citation
Mathematics · #Advanced Mathematical Identities #Mathematical functions and polynomials #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1106.5247

Abstract

We provide direct elementary proofs of several explicit expressions for Bernoulli numbers and Bernoulli polynomials. As a byproduct of our method of proof, we provide natural definitions for generalized Bernoulli numbers and polynomials of complex order.

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