Results 51 to 60 of about 50,310 (297)
Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
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
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Degenerate Catalan-Daehee numbers and polynomials of order r arising from degenerate umbral calculus
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
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Two closed forms for the Bernoulli polynomials [PDF]
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
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On the P-Adic Valuations of Stirling Numbers of the Second Kind
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]
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
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On certain polynomial systems involving Stirling numbers of second kind [PDF]
23 ...
Castro-Jiménez, Francisco-Jesús+1 more
openaire +4 more sources
Some properties on degenerate Fubini polynomials
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
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A Note on Some Identities of New Type Degenerate Bell Polynomials
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
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
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An identity for Stirling numbers of the second kind
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
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