Results 21 to 30 of about 1,536,850 (314)
The Jacobi-Stirling Numbers [PDF]
, 2011 17 pages, 3 ...
George E. Andrews +3 more
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Generalized Stirling Numbers I [PDF]
, 2018 We consider generalized Stirling numbers of the second kind $% S_{a,b,r}^{ _{s}, _{s},r_{s},p_{s}}\left( p,k\right) $, $% k=0,1,\ldots .rp+\sum_{s=2}^{L}r_{s}p_{s}$, where $a,b, _{s}, _{s} $ are complex numbers, and $r,p,r_{s},p_{s}$ are non-negative integers given, $s=2,\ldots ,L$.
Claudio Pita-Ruiz
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On Stirling and bell numbers of order 1/2
FilomatThe Stirling numbers of order 1/2 (of the second kind) introduced by Katugampola are discussed and it is shown that they are given by a scaled subfamily of the generalized Stirling numbers introduced by Hsu and Shiue.
Matthias Schork
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Vector weighted Stirling numbers and an application in graph theory
Electronic Journal of Graph Theory and Applications, 2021 We introduce \textit{vector weighted Stirling numbers}, which are a generalization of ordinary Stirling numbers and restricted Stirling numbers. Some relations between vector weighted Stirling numbers and ordinary Stirling numbers and some of their ...
Fahimeh Esmaeeli +2 more
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Some Identities Involving $q$-Stirling Numbers of the Second Kind in Type B [PDF]
Electronic Journal of Combinatorics, 2023 The recent interest in type B $q$-Stirling numbers of the second kind prompted us to give a type B analogue of a classical identity connecting the $q$-Stirling numbers of the second kind and Carlitz's major $q$-Eulerian numbers, which turns out to be a ...
Mingda Ding, Jiang Zeng
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New approach to λ-Stirling numbers
AIMS Mathematics, 2023 The aim of this paper is to study the $ \lambda $-Stirling numbers of both kinds, which are $ \lambda $-analogues of Stirling numbers of both kinds. These numbers have nice combinatorial interpretations when $ \lambda $ are positive integers.
Dae San Kim +2 more
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Some Identities Involving Degenerate Stirling Numbers Associated with Several Degenerate Polynomials and Numbers [PDF]
Russian journal of mathematical physics, 2022 The aim of this paper is to investigate some properties, recurrence relations and identities involving degenerate Stirling numbers of both kinds associated with degenerate hyperharmonic numbers and also with degenerate Bernoulli, degenerate Euler ...
T. Kim, D. Kim
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Some Identities on Degenerate $$r$$-Stirling Numbers via Boson Operators [PDF]
Russian journal of mathematical physics, 2022 Broder introduced the r-Stirling numbers of the first kind and of the second kind which enumerate restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively ...
Taekyun Kim, Dae San Kim
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Dickson–Stirling numbers [PDF]
Proceedings of the Edinburgh Mathematical Society, 1997 The Dickson polynomialDn, (x,a) of degreenis defined bydenotes the greatest integer function. In particular, we defineD0(x,a) = 2 for all realxanda. By using Dickson polynomials we present new types of generalized Stirling numbers of the first and second kinds. Some basic properties of these numbers and a combinatorial application to the enumeration of
Hsu, L. C. +2 more
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Axioms, 2022 In this paper, we focus on the higher-order derivatives of the hyperharmonic polynomials, which are a generalization of the ordinary harmonic numbers. We determine the hyperharmonic polynomials and their successive derivatives in terms of the r-Stirling ...
José L. Cereceda
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