Results 21 to 30 of about 6,126 (171)
Degenerate polyexponential functions and degenerate Bell polynomials [PDF]
Journal of Mathematical Analysis and Applications, 2020 I recent years, studying degenerate versions of some special polynomials, which was initiated by Carlitz in an investigation of the degenerate Bernoulli and Euler polynomials, regained lively interest of mant mathematicains. In this paper, as a degenerate version of polyexponential functions introduced by Hardy, we study degenerate polyexponential ...
Kim, Taekyun, Kim, Dae San
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Some Identities of Fully Degenerate Dowling Polynomials and Numbers
Discrete Dynamics in Nature and Society, 2023 Recently, Kim-Kim introduced the degenerate Whitney numbers of the first and second kind involving the degenerate Dowling polynomials and numbers.
Lingling Luo +3 more
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Some results on degenerate Fubini and degenerate Bell polynomials
Applicable Analysis and Discrete Mathematics, 2023 The aim of this paper is to further study some properties and identities on the degenerate Fubini and the degenerate Bell polynomials which are degenerate versions of the Fubini and the Bell polynomials, respectively. Especially, we find several expressions for the generating function of the sum of the values of the generalized falling factorials at ...
Kim, Taekyun, Kim, Dae San
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Some identities on truncated polynomials associated with Lah-Bell polynomials
Applied Mathematics in Science and Engineering, 2023 Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo +3 more
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On degenerate central complete bell polynomials
Applicable Analysis and Discrete Mathematics, 2019 In this paper, we consider of generalized central complete and incomplete Bell polynomials called degenerate central complete and incomplete Bell polynomials. These polynomials are generalizations of the recently introduced central complete Bell polynomials and `degenerate' analogues for the central complete and incomplete Bell polynomials.
Kim, Taekyun +2 more
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A note on degenerate derangement polynomials and numbers
AIMS Mathematics, 2021 In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions.
Taekyun Kim +3 more
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Axioms, 2022 In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type ...
Siqintuya Jin +2 more
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Wick's theorem for q-deformed boson operators [PDF]
, 2007 In this paper combinatorial aspects of normal ordering arbitrary words in the creation and annihilation operators of the q-deformed boson are discussed.
Anshelevich M +13 more
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A note on degenerate type 2 Changhee polynomials and numbers [PDF]
, 2019 In this paper, we consider the degenerate type 2 Changhee numbers and polynomials cn,λ(x) and derive some new identities involving degenerate type 2 Changhee polynomials, the type 2 Changhee polynomials, the type 2 Euler polynomials, generalized Bell ...
., Wuyungaowa, Chen, Sarengaowa
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Degenerate Catalan-Daehee numbers and polynomials of order r arising from degenerate umbral calculus
AIMS Mathematics, 2022 Many mathematicians have studied degenerate versions of some special polynomials and numbers that can take into account the surrounding environment or a person's psychological burden in recent years, and they've discovered some interesting results ...
Hye Kyung Kim, Dmitry V. Dolgy
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