An Identity for Generalized Bernoulli Polynomials

Journal article

Mehbali, M. (2020). An Identity for Generalized Bernoulli Polynomials. Journal of Integer Sequences. Vol. 23 (2020) (20.11.2), pp. 1 - 25.
AuthorsMehbali, M.

Recognizing the great importance of Bernoulli numbers and Bernoulli polynomials in various branches of mathematics, the present paper develops two results dealing with these objects. The first one proposes an identity for the generalized Bernoulli polynomials, which leads to further generalizations for several relations involving classical Bernoulli numbers and Bernoulli polynomials. In particular, it generalizes a recent identity suggested by Gessel. The second result allows the deduction of similar identities for Fibonacci, Lucas, and Chebyshev polynomials, as well as for generalized Euler polynomials, Genocchi polynomials, and generalized numbers of Stirling.

Keywords Bernoulli numbers, Bernoulli polynomials
JournalJournal of Integer Sequences
Journal citationVol. 23 (2020) (20.11.2), pp. 1 - 25
PublisherUniversity of Waterloo
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Publication dates
Print24 Nov 2020
Publication process dates
Accepted30 Jun 2020
Deposited04 Nov 2021
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Additional information

The paper has been realized jointly with two authors: Redha Chellal and Farid Bencherif, from the Faculty of Mathematics of USTHB, Algiers, Algeria.

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Identity for Generalized Bernoulli Polynomials.pdf
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