Results 61 to 70 of about 146,038 (187)
Arithmetical properties of double Möbius-Bernoulli numbers
Open Mathematics, 2019 Given positive integers n, n′ and k, we investigate the Möbius-Bernoulli numbers Mk(n), double Möbius-Bernoulli numbers Mk(n,n′), and Möbius-Bernoulli polynomials Mk(n)(x).
Bayad Abdelmejid, Kim Daeyeoul, Li Yan
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
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Известия Иркутского государственного университета: Серия "Математика", 2016 The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
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Determinantal Expressions for Bernoulli Polynomials
Integers, 2019 See the abstract in the attached pdf.
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
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Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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, 2018 U ovome radu prezentirana su neka osnovna svojstva Bernoullijevih brojeva i Bernoullijevih polinoma. Razmatrane su primjene Bernoullijevih brojeva i Bernoullijevih polinoma pri računanju suma potencija prvih n prirodnih brojeva, pri razvoju funkcija u ...
Mihaela Ribičić Penava +3 more
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Bernoulli and euler polynomials [PDF]
, 2013 Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2013. Supervisor: Assoc. Prof. Dr. Sonuç Zorlu Oğurlu.ABSTRACT: This thesis provides an overview of Bernoulli and Euler
Çatma, Güneş
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Congruences concerning Bernoulli numbers and Bernoulli polynomials
Discrete Applied Mathematics, 2000 Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
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Some Formulae for the Product of Two Bernoulli and Euler Polynomials
Abstract and Applied Analysis, 2012 We investigate some formulae for the product of two Bernoulli and Euler polynomials arising from the Euler and Bernoulli basis polynomials.
D. S. Kim +3 more
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