Results 71 to 80 of about 758,034 (91)
A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type
In this paper, we consider a new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type, denoted by W(alpha) n,lambda(delta, zeta; rho; mu).
Kizilates, Can +3 more
core +1 more source
The modified degenerate q-Bernoulli polynomials arising from p-adic invariant integral on Z p
, 2017 Dolgy et al. introduced the modified degenerate Bernoulli polynomials, which are different from Carlitz\u2019s degenerate Bernoulli polynomials (see Dolgy et al. in Adv. Stud. Contemp. Math. (Kyungshang) 26(1):1-9, 2016 ). In this
Kwon, Jongkyum, Lee, Jeong
core
The complexity of divisibility.
Linear Algebra Appl, 2016 Bausch J, Cubitt T.
europepmc +1 more source
A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials [PDF]
Symmetry, 2020 Recently, the parametric kind of some well known polynomials have been presented by many authors. In a sequel of such type of works, in this paper, we introduce the two parametric kinds of degenerate poly-Bernoulli and poly-Genocchi polynomials. Some analytical properties of these parametric polynomials are also derived in a systematic manner.
Taekyun Kim +2 more
exaly +4 more sources
Type 2 Degenerate Poly-Euler Polynomials
Symmetry, 2020 In recent years, many mathematicians have studied the degenerate versions of many special polynomials and numbers. The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithms functions.
Lee-Chae Jang, Hye Kyung Kim
exaly +2 more sources
Degenerate Bernoulli polynomials, generalized factorial sums, and their applications [PDF]
Journal of Number Theory, 2008 We prove a general symmetric identity involving the degenerate Bernoulli polynomials and sums of generalized falling factorials, which unifies several known identities for Bernoulli and degenerate Bernoulli numbers and polynomials.
Paul Thomas Young
exaly +2 more sources
Some identities related to degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsThe aim of this paper is to study degenerate Bernoulli and degenerate Euler polynomials and numbers and their higher-order analogues. We express the degenerate Euler polynomials in terms of the degenerate Bernoulli polynomials and vice versa.
Taekyun Kim, Jongkyum Kwon
exaly +2 more sources
Probabilistic degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsRecently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
D S Kim, Lingling Luo, Taekyun Kim
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Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind
Symmetry, 2020 In recent years, many mathematicians studied various degenerate versions of some special polynomials for which quite a few interesting results were discovered. In this paper, we introduce the type 2 degenerate Bernoulli polynomials of the second kind and
Lee-Chae Jang, Taekyun Kim, D S Kim
exaly +2 more sources
Note on Type 2 Degenerate q-Bernoulli Polynomials
Symmetry, 2019 The purpose of this paper is to introduce and study type 2 degenerate q-Bernoulli polynomials and numbers by virtue of the bosonic p-adic q-integrals.
Taekyun Kim, D S Kim, Jongkyum Kwon
exaly +2 more sources