Results 51 to 60 of about 4,850 (153)

Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials

open access: yes, 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
openaire   +2 more sources

Combinatorial Identities with Several Kinds of Degenerate-Daehee Sequences [PDF]

open access: yes, 2020
In this paper, we mainly make use of the probabilistic method to calculate several different moment representations of the degenerate Daehee numbers of the third kind with degenerate log function.
Hao, Tian, Wuyungaowa, .
core   +1 more source

Degenerate Poisson Distribution [PDF]

open access: yes, 2019
The main purpose of this paper is to introduce and investigate degenerate Poisson distribution which is a new extension of the Poisson distribution including the degenerate exponential function.
Acikgoz, Mehmet, Duran, Ugur
core   +1 more source

Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering

open access: yesJournal of Mathematics, 2022
Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Ordinary and degenerate Euler numbers and polynomials

open access: yesJournal 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
doaj   +1 more source

On generalized degenerate Euler–Genocchi polynomials

open access: yesApplied Mathematics in Science and Engineering, 2023
We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Studies in the statistical and thermal properties of hadronic matter under some extreme conditions [PDF]

open access: yes, 1996
The thermal and statistical properties of hadronic matter under some extreme conditions are investigated using an exactly solvable canonical ensemble model.
A. Bonasera   +47 more
core   +2 more sources

Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm

open access: yesAdvances in Difference Equations, 2020
Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate some their properties.
Taekyun Kim   +4 more
doaj   +1 more source

A note on normal ordering of degenerate integral powers of number operator [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This study derives the normal ordering expansion of degenerate integral powers of the number operator, (a†a)_{n,λ}, using recurrence relations for the coefficients and an operator action on number states. Here a† and a are respectively the boson creation
Taekyun Kim, Dae San Kim, Kyo-Shin Hwang
doaj   +1 more source

p-Adic integral on Z p $\mathbb{Z}_{p}$ associated with degenerate Bernoulli polynomials of the second kind

open access: yesAdvances 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
doaj   +1 more source

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