Results 11 to 20 of about 152,514 (291)
Some identities involving degenerate Stirling numbers arising from normal ordering
AIMS Mathematics, 2022 In this paper, we derive some identities and recurrence relations for the degenerate Stirling numbers of the first kind and of the second kind, which are degenerate versions of the ordinary Stirling numbers of the first kind and of the second kind.
Taekyun Kim, Dae San Kim , Hye Kyung Kim
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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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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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Journal of Mathematical Analysis and Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mínguez Ceniceros, Judit +2 more
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On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays
Special Matrices, 2021 In this paper, by means of the summation property to the Riordan array, we derive some identities involving generalized harmonic, hyperharmonic and special numbers.
Koparal Sibel, Ömür Neşe, Duran Ömer
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Normal ordering of degenerate integral powers of number operator and its applications
Applied Mathematics in Science and Engineering, 2022 The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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Experimental and Numerical Study of a Microcogeneration Stirling Unit under On–Off Cycling Operation
Energies, 2021 Stirling units are a viable option for micro-cogeneration applications, but they operate often with multiple daily startups and shutdowns due to the variability of load profiles.
Gianluca Valenti +5 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances 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
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Note on r-central Lah numbers and r-central Lah-Bell numbers
AIMS Mathematics, 2022 The r-Lah numbers generalize the Lah numbers to the r-Stirling numbers in the same sense. The Stirling numbers and the central factorial numbers are one of the important tools in enumerative combinatorics. The r-Lah number counts the number of partitions
Hye Kyung Kim
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Extended Bernoulli and Stirling matrices and related combinatorial identities [PDF]
, 2013 In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced from Pascal type matrix representations of Bernoulli and Stirling numbers ...
Can, Mümün, Dağlı, M. Cihat
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