Results 31 to 40 of about 2,043 (239)
q-Bernoulli numbers and q-Bernoulli polynomials revisited [PDF]
Advances in Difference Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim Taekyun, Lee Byungje, Ryoo Cheon
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Derivation of Identities Involving Bernoulli and Euler Numbers
International Journal of Mathematics and Mathematical Sciences, 2012 We derive some new and interesting identities involving Bernoulli and Euler numbers by using some polynomial identities and p-adic integrals on ℤ𝑝.
Imju Lee, Dae San Kim
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Bernoulli polynomial based wavelets method for solving chaotic behaviour of financial model
Results in Physics, 2023 This paper presents an algorithm for solving systems of non integer financial chaotic model. The Bernoulli wavelets function approximation applies to fractional order financial systems for the first time.
Badr Saad T. Alkahtani +3 more
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New results on the q-generalized Bernoulli polynomials of level m
Demonstratio Mathematica, 2019 This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of
Urieles Alejandro +3 more
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Generalised Bernoulli polynomials and series [PDF]
Bulletin of the Australian Mathematical Society, 2000 We present several results related to the recently introduced generalised Bernoulli polynomials. Some recurrence relations are given, which permit us to compute efficiently the polynomials in question. The sums , where jk = jk (α) are the zeros of the Bessel function of the first kind of order α, are evaluated in terms of these polynomials.
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Sums of finite products of Genocchi functions
Advances in Difference Equations, 2017 In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim +3 more
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Bernoulli Related Polynomials and Numbers [PDF]
Mathematics of Computation, 1979 The polynomials φ
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The Triangle Algorithm for Bernoulli Polynomials
, 2023 Algorithms like ones used to generate Pascal's triangle for generating Bernoulli polynomials and their various generalizations are given. It is remarkable that the algorithms for Bernoulli polynomials are natural interpolations of the ones for Bernoulli numbers.
Kawasaki, Naho, Ohno, Yasuo
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New Formulas of Bernoulli Polynomials of the Second Kind Using Several Approaches
MathematicsThis article presents several new analytical results for a modified class of Bernoulli polynomials, namely, the Bernoulli polynomials of the second kind (BPs2).
Waleed Mohamed Abd-Elhameed +3 more
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On the apostol-bernoulli polynomials
Open Mathematics, 2004 Abstract In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
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