Results 31 to 40 of about 4,759 (160)

Some properties on degenerate Fubini polynomials

open access: yesApplied Mathematics in Science and Engineering, 2022
The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the
Taekyun Kim   +3 more
doaj   +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

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

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 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

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

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

Wick's theorem for q-deformed boson operators [PDF]

open access: yes, 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
core   +2 more sources

A Note on Some Identities of New Type Degenerate Bell Polynomials

open access: yesMathematics, 2019
Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim   +3 more
doaj   +1 more source

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