Representations of degenerate poly-Bernoulli polynomials [PDF]
Journal of Inequalities and Applications, 2021 As is well known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate versions of such functions and polynomials, degenerate polylogarithm functions were introduced and degenerate poly-Bernoulli polynomials
Taekyun Kim +3 more
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Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
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Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications [PDF]
Advances in Difference Equations, 2021 Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we investigate the degenerate type 2 poly-Bernoulli
Waseem A. Khan +3 more
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Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable [PDF]
Journal of Function Spaces, 2021 In this paper, we introduce degenerate multi-poly-Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi-poly-Bernoulli polynomials degenerate Whitney numbers and Stirling numbers of the ...
G. Muhiuddin +3 more
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Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm [PDF]
Advances in Difference Equations, 2020 Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties.
Taekyun Kim +4 more
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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 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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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 +2 more sources
Fully degenerate Bernoulli numbers and polynomials
Demonstratio Mathematica, 2022 The aim of this article is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on Zp{
Kim Taekyun, Kim Dae San, Park Jin-Woo
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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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