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New Formulas of Bernoulli Polynomials of the Second Kind Using Several Approaches

This article presents several new analytical results for a modified class of Bernoulli polynomials, namely, the Bernoulli polynomials of the second kind (BPs2). The paper mainly develops new connection and inverse connection formulas between the first and second kinds of Bernoulli polynomials using...

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Sparad:
Huvudupphov: Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Naher Mohammed A. Alsafri, Amr Kamel Amin
Materialtyp: Artigo
Språk:Inglês
Utgiven: MDPI AG 2026-06-01
Serie:Mathematics
Ämnen:
Bernoulli numbers
moment formulas
generating functions
linearization formulas
Zeilberger’s algorithm
definite integrals
Länkar:https://www.mdpi.com/2227-7390/14/12/2091
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