Results 51 to 60 of about 51,714 (196)
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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Some identities of degenerate multi-poly-Changhee polynomials and numbers
Electronic Research Archive, 2023 Recently, many researchers studied the degenerate multi-special polynomials as degenerate versions of the multi-special polynomials and obtained some identities and properties of the those polynomials.
Sang Jo Yun +3 more
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Euler–Riemann Zeta Function and Chebyshev–Stirling Numbers of the First Kind [PDF]
, 2018 Cristina Ballantine, Mircea Merca
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Generalized Fock spaces and the Stirling numbers [PDF]
, 2018 The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D. +14 more
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A Symmetric Sum Involving the Stirling Numbers of the First Kind
European Journal of Combinatorics, 1984 Let \(\{a_i\}^n_{i=1}\) be a sequence of natural numbers, \(0\leq a_i\leq n\) for \(i=1,\dots,n\), and \(A_{nm}\) be an \(n\times m\) array associated with this sequence, whose entries \(\alpha_{ij}=0,1\) such that \(\sum_{j=1}^m \alpha_{ij}=a_i\), \(i=1,\dots,n\), \(j=1,\dots,m\).
A.M. Khidr, Beih S. El-Desouky
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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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λ-Analogues of Stirling polynomials of the first kind and their applications
Journal of Inequalities and Applications, 2019 Recently, λ-analogues of Stirling numbers of the first kind were studied. In this paper, we introduce, as natural extensions of these numbers, λ-Stirling polynomials of the first kind and r-truncated λ-Stirling polynomials of the first kind.
Taekyun Kim +3 more
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Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 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
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Elliptic rook and file numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In this work, we construct elliptic analogues of the rook numbers and file numbers by attaching elliptic weights to the cells in a board. We show that our elliptic rook and file numbers satisfy elliptic extensions of corre- sponding factorization ...
Michael J. Schlosser, Meesue Yoo
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