Results 31 to 40 of about 628,239 (128)
Recurrence Relations for Degenerate Bell and Dowling Polynomials via Boson Operators
Computational Mathematics and Mathematical PhysicsSpivey found a recurrence relation for the Bell numbers by using combinatorial method. The aim of this paper is to derive Spivey's type recurrence relations for the degenerate Bell polynomials and the degenerate Dowling polynomials by using the boson annihilation and creation operators satisfying the commutation relation aa+-a+a=1.
Taekyun Kim, Dae San Kim
exaly +3 more sources
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
doaj +1 more source
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
openaire +4 more sources
, 2021 Recently, Kim-Kim introduced the lambda-umbral calculus, in which the lambda-Sheffer sequences occupy the central position. In this paper, we introduce the fully degenerate Bell and the fully degenerate Dowling polynomials, and investigate some ...
Kim, Taekyun +3 more
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Some identities related to degenerate Stirling numbers of the second kind
Demonstratio Mathematica, 2022 The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
doaj +1 more source
On fully degenerate Bell numbers and polynomials
Filomat, 2020 Recently, the partially degenerate Bell numbers and polynomials were introduced as a degenerate version of Bell numbers and polynomials. In this paper, as a further degeneration of them, we study fully degenerate Bell numbers and polynomials.
Dolgy, Dmitry V. +3 more
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Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers
Open Mathematics, 2021 In this paper, with the aid of the Faà di Bruno formula and by virtue of properties of the Bell polynomials of the second kind, the authors define a kind of notion of degenerate Narumi numbers and polynomials, establish explicit formulas for degenerate ...
Qi Feng +2 more
doaj +1 more source
Applications of degenerate q-Euler and q-Changhee polynomials with weight α [PDF]
, 2022 In this paper, we give new identities involving degenerate q-Euler polynomials with weight α and q-Changhee polynomials of the second kind with weight α, using the Faà di Bruno formula and some identities of the Bell polynomials of the second ...
Duran, Ömer +2 more
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