Results 71 to 80 of about 796,849 (91)
Hermite based poly-bernoulli polynomials with a g-parameter
, 2018 We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations.
Araci, Serkan +4 more
core +1 more source
Assume that X is the Bernoulli random variable with parameter [Formula: see text], and that random variables [Formula: see text] are a sequence of mutually independent copies of X.
Dae San Kim, Jongkyum Kwon, Taekyun Kim
core +1 more source
The complexity of divisibility.
Linear Algebra Appl, 2016 Bausch J, Cubitt T.
europepmc +1 more source
In this paper, we obtain new relationships between the Cauchy polynomials, the Bernoulli polynomials, and the generalized (or weighted) Stirling numbers of both kinds.
Cereceda, José L.
core
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
Degenerate Hermite Poly-Bernoulli Numbers and Polynomials With q-Parameter [PDF]
Studia Universitatis Babes-Bolyai Mathematica, 2020 In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials with q-parameter and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using dierent analytical means and applying generating functions ...
Waseem Ahmad Khan
exaly +3 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.
Hye Kyung Kim
exaly +2 more sources
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
Taekyun Kim, Dae San Kim, Han Young Kim
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, Dae San Kim
exaly +2 more sources
Degenerate Poly-Type 2-Bernoulli Polynomials [PDF]
Mathematical Sciences and Applications E-Notes, 2021 Recently, Kim-Kim [10] have studied type 2-Changhee and Daehee polynomials. They have also introduced the type 2-Bernoulli polynomials in order to express the central factorial numbers of the second kind by making use of type 2-Bernoulli numbers of ...
Serkan Araci
exaly +2 more sources