Results 31 to 40 of about 4,686 (176)

A Study on degenerate Whitney numbers of the first and second kinds of Dowling lattices

open access: yes, 2021
Dowling constructed Dowling lattice Qn(G), for any finite set with n elements and any finite multiplicative group G of order m, which is a finite geometric lattice.
Kim, Dae San, Kim, Taekyun
core   +1 more source

A Note on Degenerate Catalan-Daehee Numbers and Polynomials

open access: yesSymmetry, 2022
In this paper, we consider the degenerate forms of the Catalan–Daehee polynomials and numbers by the Volkenborn integrals and obtain diverse explicit expressions and formulas.
W. Khan, M. S. Alatawi, U. Duran
semanticscholar   +1 more source

Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers

open access: yesAdvances in Difference Equations, 2020
The aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers of the first and second kinds.
Taekyun Kim   +3 more
doaj   +1 more source

Degenerate Bernoulli polynomials, generalized factorial sums, and their applications [PDF]

open access: yes, 2008
We prove a general symmetric identity involving the degenerate Bernoulli polynomials and sums of generalized falling factorials, which unifies several known identities for Bernoulli and degenerate Bernoulli numbers and polynomials.
Young, Paul Thomas
core   +1 more source

On Degenerate Truncated Special Polynomials

open access: yesMathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering

open access: yesApplied Mathematics in Science and Engineering, 2023
It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +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

A note on infinite series whose terms involve truncated degenerate exponentials

open access: yesApplied Mathematics in Science and Engineering, 2023
The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
doaj   +1 more source

Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]

open access: yes, 2013
In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers ...
Can, Mümün, Dağlı, M. Cihat
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

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