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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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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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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A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties [PDF]
AIMS Mathematics, 2021 The main object of this article is to present type 2 degenerate poly-Bernoulli polynomials of the second kind and numbers by arising from modified degenerate polyexponential function and investigate some properties of them.
Waseem A. Khan +5 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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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 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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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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Representations of modified type 2 degenerate poly-Bernoulli polynomials
AIMS Mathematics, 2022 Research on the degenerate versions of special polynomials provides a new area, introducing the λ-analogue of special polynomials and numbers, such as λ-Sheffer polynomials.
Jongkyum Kwon +3 more
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Fully degenerate poly-Bernoulli numbers and polynomials [PDF]
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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