Results 1 to 10 of about 65 (62)
SOME REMARKS ABOUT STIRLING NUMBERS OF THE SECOND KIND [PDF]
Human Research in Rehabilitation, 2013 In this paper we give a representation of Stirling numbers of the second kind, we obtain explicit formulas for some cases of Stirling numbers of the second kind and illustrate a method for founding other such formulas.
Ramiz Vugdalić, Fatih Destović
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Curious congruences related to the Bell polynomials [PDF]
Quaestiones Mathematicae, 2018 In this paper we give some congruences on the r-derangement polynomials (dened below), Lah polynomials and some versions of Bell numbers and polynomials.Mathematics Subject Classication (2010): 11B73, 05A18, 11A07.Key words: Generalized Bell umbra, Bell ...
Abdelkader Benyattou, Miloud Mihoubi
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Poly-falling factorial sequences and poly-rising factorial sequences
Open Mathematics, 2021 In this paper, we introduce generalizations of rising factorials and falling factorials, respectively, and study their relations with the well-known Stirling numbers, Lah numbers, and so on.
Kim Hye Kyung
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Fully degenerate Bernoulli numbers and polynomials
Demonstratio 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{
Kim Taekyun, Kim Dae San, Park Jin-Woo
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Demonstratio Mathematica, 2022 In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
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Open Mathematics, 2023 Hyperharmonic numbers were introduced by Conway and Guy (The Book of Numbers, Copernicus, New York, 1996), whereas harmonic numbers have been studied since antiquity.
Kim Taekyun, Kim Dae San, Kim Hye Kyung
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Degenerate Hermite poly-Bernoulli numbers and polynomials with q-parameter [PDF]
, 2020 In this paper, we introduce a new class of degenerate Hermite polyBernoulli polynomials with q-parameter and give some identities of these polynomials related to the Stirling numbers of the second kind.
KHAN, Idrees A. +2 more
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Study on r-truncated degenerate Stirling numbers of the second kind
Open 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 ...
Kim Taekyun, Kim Dae San, Kim Hyekyung
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Special Matrices, 2023 Denote by σn{\sigma }_{n} the n-th Stirling polynomial in the sense of the well-known book Concrete Mathematics by Graham, Knuth and Patashnik. We show that there exist developments xσn(x)=∑j=0n(2jj!)−1qn−j(j)xjx{\sigma }_{n}\left(x)={\sum }_{j=0}^{n ...
Kovačec Alexander +1 more
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Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials
Open Mathematics, 2021 The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show
Kim Taekyun +3 more
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