On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter [PDF]
Mathematics, 2019 We firstly consider the fully degenerate Gould⁻Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
Ugur Duran, Patrick Njionou Sadjang
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Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter [PDF]
Studia Universitatis Babes-Bolyai Matematica, 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 A. Khan +2 more
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Some applications of degenerate poly-Bernoulli numbers and polynomials [PDF]
Georgian Mathematical Journal, 2017 Abstract In this paper, we consider degenerate poly-Bernoulli numbers and polynomials associated with a polylogarithmic function and a p-adic invariant integral on ℤ p
Kim, Dae San, Kim, Taekyun
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Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials [PDF]
Advances in Difference Equations, 2020 The polyexponential functions were introduced by Hardy and rediscovered by Kim, as inverses to the polylogarithm functions. Recently, the type 2 poly-Bernoulli numbers and polynomials were defined by means of the polyexponential functions. In this paper,
Taekyun Kim +3 more
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FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS
, 2018 In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of different analytical means and generating function method.
Khan, Waseem Ahmad +4 more
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Probabilistic degenerate poly-Bell polynomials associated with random variables
Mathematical and Computer Modelling of Dynamical SystemsLet [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue +4 more
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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A note on degenerate multi-poly-Bernoulli numbers and polynomials
Applicable Analysis and Discrete Mathematics, 2023 In this paper, we consider the degenerate multi-poly-Bernoulli numbers and polynomials which are defined by means of the multiple polylogarithms and degenerate versions of the multi-poly-Bernoulli numbers and polynomials. We investigate some properties for those numbers and polynomials.
Kim, Taekyun, Kim, Dae San
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A note on degenerate poly-Bernoulli numbers and polynomials [PDF]
Advances in Difference Equations, 2015 8 ...
Kim, Dae San, Kim, Taekyun
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Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Dae San +3 more
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