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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 ...
Taekyun Kim, Dae San Kim
exaly   +3 more sources

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On degenerate Bell numbers and polynomials

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dae San Kim, Taekyun Kim
exaly   +2 more sources

Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials

Russian Journal of Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, T., Kim, D. S.
openaire   +1 more source

Degenerate central Bell numbers and polynomials

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taekyun Kim, Dae San Kim
exaly   +2 more sources

REPRESENTATIONS BY ORDERED BELL AND DEGENERATE ORDERED BELL POLYNOMIALS

Rocky Mountain Journal of Mathematics
20 pages.
Dae San Kim, Taekyun Kim
exaly   +3 more sources

Probabilistic Degenerate Bell Polynomials Associated with Random Variables

Russian Journal of Mathematical Physics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, T., Kim, D. S.
openaire   +1 more source

Degenerate Stirling numbers and a family of Bell polynomials

MATHEMATICA, 2022
In this paper, we employ generating functions' techniques to obtain some identities involving degenerate Bell polynomials, multivariate Bell polynomials, and Carlitz degenerate Stirling numbers. Moreover, we obtain some formulas related to an explicit representation and recurrence relations for Lah polynomials.
Madjid Sebaoui, Ghania Guettai, Difalah Laissaoui, Mourad Rahmani   +3 more
openaire   +1 more source

Degenerate r-Stirling Numbers and r-Bell Polynomials

Russian Journal of Mathematical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, T., Yao, Y., Kim, D. S., Jang, G.-W.   +3 more
openaire   +1 more source

Recurrence Relations for Degenerate Bell and Dowling Polynomials via Boson Operators

Computational Mathematics and Mathematical Physics
Spivey 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