Results 51 to 60 of about 726,471 (254)
A Parametric Type of Cauchy Polynomials with Higher Level
Axioms, 2021 There are many kinds of generalizations of Cauchy numbers and polynomials. Recently, a parametric type of the Bernoulli numbers with level 3 was introduced and studied as a kind of generalization of Bernoulli polynomials.
Takao Komatsu
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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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Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0
Abstract and Applied Analysis, 2011 Recently, Kim (2011) has introduced the q-Bernoulli numbers with weight α. In this paper, we consider the q-Bernoulli numbers and polynomials with weight α=0 and give p-adic q-integral representation of Bernstein polynomials associated ...
T. Kim, J. Choi, Y. H. Kim
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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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Integrals of products of Bernoulli polynomials [PDF]
, 2011 Extending known results on integrals of products of two or three Bernoulli polynomials with limits of integration 0 and 1, we obtain identities for such integrals with limits of integration 0 and x, for a variable x.
Karl Dilcher +2 more
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On bi-variate poly-Bernoulli polynomials
, 2022 We introduce poly-Bernoulli polynomials in two variables by using ageneralization of Stirling numbers of the second kind that we studied in aprevious work.
Pita-Ruiz, Claudio, Claudio Pita-Ruiz
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Bernoulli Related Polynomials and Numbers [PDF]
Mathematics of Computation, 1979 The polynomials φ
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A Note on the Poly-Bernoulli Polynomials of the Second Kind
Journal of Function Spaces, 2020 In this paper, we define the poly-Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials.
Sang Jo Yun, Jin-Woo Park
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Fekete–Szegö inequalities for bi-univalent functions involving cauchy and Bernoulli polynomials
Gulf Journal of MathematicsWe present a unified complex-variable extension of both Cauchy and Bernoulli polynomials on the open unit disc. This generalized framework deepens their analytic properties and opens new directions for application in geometric function theory.
W. Atshan +2 more
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A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable [PDF]
Symmetry, 2019 Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials.
D. Kim, Taekyun Kim, Hyunseok Lee
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