On Some Explicit Formulas for Bernoulli Numbers and Polynomials

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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Source https://hal.science/hal-00603510
Author Fekih-Ahmed, Lazhar
Maintainer CCSD
Last Updated May 20, 2026, 05:33 (UTC)
Created May 20, 2026, 05:33 (UTC)
Identifier hal-00603510
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor National Engineering School of Tunis [Tunis El Manar University] = École Nationale d'Ingénieurs de Tunis [Université de Tunis – El Manar] (ENIT) ; Tunis El Manar University [University of Tunis El Manar] [Tunisia] = Université de Tunis El Manar [Tunisie] = جامعة تونس المنار (ar) (UTM)
creator Fekih-Ahmed, Lazhar
date 2012-05-02T00:00:00
harvest_object_id c4adde32-f888-4cd6-b77f-e01ae20d458d
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-07-15T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1106.5247
set_spec type:UNDEFINED