Results 31 to 40 of about 4,745 (169)
A note on degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Recently, some mathematicians have been studying a lot of degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our research is also interested in this field.
Hye Kyung Kim, Lee-Chae Jang
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Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials
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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Some identities related to degenerate r-Bell and degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2023 Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
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Advances in Difference Equations, 2020 In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang +3 more
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Degenerate poly-Bell polynomials and numbers
Advances in Difference Equations, 2021 Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials.
Taekyun Kim, Hye Kyung Kim
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A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators
Fractal and Fractional, 2023 This paper investigates the significance of generating expressions, operational principles, and defining characteristics in the study and development of special polynomials.
Mohra Zayed, Shahid Ahmad Wani
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Some identities on derangement and degenerate derangement polynomials
, 2017 In combinatorics, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derangement number.
AM Garsia +14 more
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On the new type of degenerate poly-Genocchi numbers and polynomials
Advances in Difference Equations, 2020 Kim and Kim (J. Math. Anal. Appl. 487:124017, 2020) introduced the degenerate logarithm function, which is the inverse of the degenerate exponential function, and defined the degenerate polylogarithm function.
Dae Sik Lee, Hye Kyung Kim
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On Fully Degenerate Daehee Numbers and Polynomials of the Second Kind
Journal of Mathematics, 2020 In a study, Carlitz introduced the degenerate exponential function and applied that function to Bernoulli and Eulerian numbers and degenerate special functions have been studied by many researchers.
Sang Jo Yun, Jin-Woo Park
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Degenerate Euler zeta function
, 2015 Recently, T. Kim considered Euler zeta function which interpolates Euler polynomials at negative integer (see [3]). In this paper, we study degenerate Euler zeta function which is holomorphic function on complex s-plane associated with degenerate Euler ...
Kim, Taekyun
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