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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A note on degenerate multi-poly-Bernoulli numbers and polynomials [PDF]
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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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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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 +3 more
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AIMS Mathematics, 2022 We present a new type of degenerate poly-Bernoulli polynomials and numbers by modifying the polyexponential function in terms of the degenerate exponential functions and degenerate logarithm functions. Also, we introduce a new variation of the degenerate
Dojin Kim +2 more
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Correction: Kim, T.; Khan, W.A.; Sharma, S.K.; Ghayasuddin, M. A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials. Symmetry 2020, 12(4), 614 [PDF]
Symmetry, 2020 (This article belongs to the Special Issue Current Trends in Symmetric Polynomials with Their Applications Ⅱ) [...]
Taekyun Kim +3 more
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Fully degenerate poly-Bernoulli numbers and polynomials [PDF]
, 2015 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and investigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
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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A note on degenerate Hermite poly-Bernoulli numbers and polynomials [PDF]
Journal of Classical Analysis, 2016 Summary: In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials 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 different analytical means and applying generating functions.
Waseem Ahmad Khan
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A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers
, 2020 Inspired by the definition of degenerate multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential functions. In this paper, we consider a class of new generating function for the degenerate multi-poly-Bernoulli polynomials, called the type 2 degenerate multi-poly-Bernoulli polynomials by means of the degenerate multiple ...
Waseem A Khan, Aysha Khan, Ugur Duran
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