Results 161 to 170 of about 15,530 (193)

Generalization of Bernoulli polynomials

International Journal of Mathematical Education in Science and Technology, 2002
The Bernoulli polynomials are generalized and some properties of the resulting generalizations are presented.
Qi, Feng, Guo, Bai-Ni
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Generalized Bernoulli Polynomials and Numbers, Revisited

Mediterranean Journal of Mathematics, 2014
We describe with some new details the connection between generalized Bernoulli polynomials, Bernoulli polynomials and generalized Bernoulli numbers (Norlund polynomials). A new recursive and explicit formulae for these polynomials are derived.
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Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials

International Journal of Number Theory, 2017
By using the restricted and associated Stirling numbers of the first kind, we define the generalized restricted and associated poly-Cauchy polynomials. By using the restricted and associated Stirling numbers of the second kind, we define the generalized restricted and associated poly-Bernoulli polynomials.
Komatsu, Takao, Luca, Florian
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Asymptotic expansions of generalized Bernoulli polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1963
AbstractAsymptotic expansions of certain generalized Bernoulli polynomials are obtained, some in terms of elementary functions and others in terms of gamma functions and their derivatives. The latter results can also be written in terms of elementary functions, by using the known asymptotic expansions of the gamma functions, and the leading terms are ...
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A new class of generalized Hermite–Bernoulli polynomials

Georgian Mathematical Journal, 2012
Summary: We introduce a new class of generalized Hermite-Bernoulli polynomials and derive some implicit summation formulae and symmetric identities by using different analytical means and applying generating functions. These results extend some known summations and identities of generalized Bernoulli polynomials studied by \textit{P.
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Bernoulli–Dunkl and Euler–Dunkl polynomials and their generalizations

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Óscar Ciaurri   +2 more
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