Results 1 to 10 of about 230 (167)

Study on r-truncated degenerate Stirling numbers of the second kind

open access: yesOpen Mathematics, 2022
The degenerate Stirling numbers of the second kind and of the first kind, which are, respectively, degenerate versions of the Stirling numbers of the second kind and of the first kind, appear frequently when we study various degenerate versions of some ...
Taekyun Kim, Dae San Kim
exaly   +4 more sources

Some identities related to degenerate Stirling numbers of the second kind

open access: yesDemonstratio 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 ...
Taekyun Kim   +2 more
exaly   +3 more sources

Some Identities of Degenerate Bell Polynomials

open access: yesMathematics, 2020
The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim   +3 more
doaj   +2 more sources

Degenerate Derangement Polynomials and Numbers

open access: yesFractal and Fractional, 2021
In this paper, we consider a new type of degenerate derangement polynomial and number, which shall be called the degenerate derangement polynomials and numbers of the second kind.
Minyoung Ma, Dongkyu Lim
doaj   +2 more sources

New type of degenerate Daehee polynomials of the second kind

open access: yesAdvances in Difference Equations, 2020
Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider
Sunil Kumar Sharma   +3 more
doaj   +2 more sources

Degenerate Poly-Lah-Bell Polynomials and Numbers

open access: yesJournal of Mathematics, 2022
Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
doaj   +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   +2 more sources

Fully degenerate Bernoulli numbers and polynomials

open access: yesDemonstratio Mathematica, 2022
The aim of this article is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on Zp{
Taekyun Kim   +2 more
exaly   +2 more sources

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   +2 more sources

A note on degenerate r-Stirling numbers

open access: yesJournal of Inequalities and Applications, 2020
The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind as those of the r-Stirling numbers ...
Taekyun Kim   +2 more
exaly   +3 more sources

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