Work

On Recurrence Relations for Bernoulli Polynomials and Numbers

Year: 2025

Type: article

Abstract: In this work we connect Bernoulli numbers and polynomials to Mersenne numbers via recurrence relations. We find two explicit formulas of Bernoulli numbers by means of Mersenne numbers different from those given by F. Qi and X. Y. Chen et al. To end with other interesting relationships, which serve as bridges between the Bernoulli polynomials and Mersenne numbers.

Source: Facta Universitatis Series Mathematics and Informatics

DOI: 10.22190/fumi220405001g

Author: Mouloud Goubi

Institution: Mouloud Mammeri University of Tizi-Ouzou

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412508831

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