Results 51 to 60 of about 50,310 (297)

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

open access: yesAdvances in Difference Equations, 2021
A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim   +4 more
doaj   +1 more source

Degenerate Catalan-Daehee numbers and polynomials of order r arising from degenerate umbral calculus

open access: yesAIMS Mathematics, 2022
Many mathematicians have studied degenerate versions of some special polynomials and numbers that can take into account the surrounding environment or a person's psychological burden in recent years, and they've discovered some interesting results ...
Hye Kyung Kim, Dmitry V. Dolgy
doaj   +1 more source

Two closed forms for the Bernoulli polynomials [PDF]

open access: yes, 2015
In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and numbers.Comment: 7 ...
Chapman, Robin J., Qi, Feng
core   +2 more sources

On the P-Adic Valuations of Stirling Numbers of the Second Kind

open access: yes, 2021
In this paper, we introduced certain formulas for p-adic valuations of Stirling numbers of the second kind S(n, k) denoted by vp(S(n, k)) for an odd prime p and positive integers k such that n ≥ k. We have obtained the formulas, vp(S(n, n − a)) for a = 1,
S. Singh   +2 more
semanticscholar   +1 more source

Negative $q$-Stirling numbers [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
doaj   +1 more source

On certain polynomial systems involving Stirling numbers of second kind [PDF]

open access: yesJournal of Symbolic Computation, 2022
23 ...
Castro-Jiménez, Francisco-Jesús   +1 more
openaire   +4 more sources

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 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

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

An identity for Stirling numbers of the second kind

open access: yesKathmandu University Journal of Science, Engineering and Technology, 2018
We obtain an identity satisfied by the Stirling numbers of the second kind.Kathmandu University Journal of Science, Engineering and TechnologyVol. 13, No.
B. M. Tuladhar   +2 more
openaire   +2 more sources

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