Bernoulli and euler numbers and polynomials

Integral Transforms and Special Functions, 2018
ABSTRACTBy means of the symmetric summation theorem on polynomial differences due to Chu and Magli [Summation formulae on reciprocal sequences. European J Combin. 2007;28(3):921–930], we examine Bernoulli and Euler polynomials of higher order. Several reciprocal relations on Bernoulli and Euler numbers and polynomials are established, including some ...
Xiaoyuan Wang, Wenchang Chu
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AIP Conference Proceedings, 2020
The main motivation of this paper is to investigate some properties of the generating functions for the numbers Yn(λ) and the polynomials Yn(x; λ), which were recently introduced by Simsek [9] and so we give some identities and relations including the numbers Yn(λ) and the polynomials Yn(x; λ), the Bernoulli numbers and polynomials, the Apostol ...
Busra Al, Mustafa Alkan
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Explicit formulas for the Bernoulli and Euler polynomials and numbers

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1991
In this paper the main result (Theorem 2) gives the following formula for the Bernoulli polynomials \(B_ n(x)\) \[ (te^{tx}/(e^ t-1)=\sum^ \infty_{n=0}B_ n(x)t^ n/n!,\quad | t|
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mathematics
generating functions
bernoulli polynomials

generating function
euler numbers and polynomials
fos: mathematics

stirling numbers
qa1-939
euler polynomials