Results 11 to 20 of about 4,686 (176)
Combinatorial identities related to degenerate Stirling numbers of the second kind [PDF]
The study of degenerate versions of certain special polynomials and numbers, which was initiated by Carlitz's work on degenerate Euler and degenerate Bernoulli polynomials, has recently seen renewed interest among mathematicians. The aim of this paper is to study some properties, certain identities, recurrence relations and explicit expressions for ...
Kim, Taekyun, Kim, Dae san
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Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials
, 2017 In a recent work, the degenerate Stirling polynomials of the second kind were studied by T. Kim. In this paper, we investigate the extended degenerate Stirling numbers of the second kind and the extended degenerate Bell polynomials associated with them.
Kim, Taekyun, Kim, Dae San
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Probabilistic Poly Degenerate r-Stirling Numbers of the Second Kind and r-Bell Polynomials
European Journal of Pure and Applied MathematicsWe introduce degenerate poly r-Stirling numbers of the second kind and poly r-Bell polynomials by using degenerate polyexponential function and investigate some properties of these number and polynomials.
S. H. Lee
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
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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 Derangement Polynomials and Numbers
Fractal and Fractional, 2021 In this paper, we consider a new type of degenerate derangement polynomial and number, which shall be called the degenerate derangement polynomials and numbers of the second kind.
Minyoung Ma, Dongkyu Lim
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Ordinary and degenerate Euler numbers and polynomials
Journal of Inequalities and Applications, 2019 In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
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Some Identities on Degenerate $$r$$-Stirling Numbers via Boson Operators [PDF]
Russian journal of mathematical physics, 2022 Broder introduced the r-Stirling numbers of the first kind and of the second kind which enumerate restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively ...
Taekyun Kim, Dae San Kim
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Degenerate central factorial numbers of the second kind [PDF]
RACSAM, 2019 In this paper, we introduce the degenerate central factorial polynomials and numbers of the second kind which are degenerate versions of the central factorial polynomials and numbers of the second kind.
Taekyun Kim, Dae San Kim
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New type degenerate Stirling numbers and Bell polynomials
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we introduce a new type degenerate Stirling numbers of the second kind and their degenerate Bell polynomials, which is different from degenerate Stirling numbers of the second kind studied so far.
Hye Kyung Kim
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