Results 181 to 190 of about 26,237 (204)

Formulas for Bernoulli Numbers and Polynomials

Results in Mathematics
Special polynomials and numbers possess much importance in multifarious areas of sciences such as physics, mathematics, applied sciences, engineering, and other related research fields covering differential equations, number theory, functional analysis, quantum mechanics, mathematical analysis, mathematical physics, and so on.
Ulrich Abel, Horst Alzer
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Probabilistic Bernoulli and Euler Polynomials

Russian Journal of Mathematical Physics
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Kim, T., Kim, D. S.
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p-Bernoulli and geometric polynomials

International Journal of Number Theory, 2018
We relate geometric polynomials and [Formula: see text]-Bernoulli polynomials with an integral representation, then obtain several properties of [Formula: see text]-Bernoulli polynomials. These results yield new identities for Bernoulli numbers. Moreover, we evaluate a Faulhaber-type summation in terms of [Formula: see text]-Bernoulli polynomials ...
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Bernoulli and Euler Polynomials

2021
Focus of this chapter are Bernoulli numbers and polynomials, and Euler numbers and polynomials in the complex domain. For the evaluation several methods can be used in dependence of the polynomial degree and argument: Direct integration, direct integration in combination with argument transformations, or expansions with respect to trigonometric series.
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On Generalized Bivariate (p,q)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli–Lucas Polynomials

Symmetry, 2023
Hao Guan, Waseem Ahmad Khan, Can Kizilateş   +2 more
exaly  

Novel Identities of Bernoulli Polynomials Involving Closed Forms for Some Definite Integrals

Symmetry, 2022
W M Abd-Elhameed, Amr Kamel Amin
exaly  

Remarks on some relationships between the Bernoulli and Euler polynomials

Applied Mathematics Letters, 2004
H M Srivastava, Àkos Pinter
exaly  

Some Identities for Euler and Bernoulli Polynomials and Their Zeros

Axioms, 2018
Taekyun Kim, Cheon Seoung Ryoo
exaly  

Bernoulli polynomials

2011
Helmut Brass, Knut Petras
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Some results on the Apostol–Bernoulli and Apostol–Euler polynomials

Computers and Mathematics With Applications, 2008
Weiping Wang, Cangzhi Jia
exaly