Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers
Publications de l'Institut Mathematique, 2020 We derive two explicit formulas for two sequences of special values of the Bell polynomials of the second kind in terms of associate Stirling numbers of the second kind, give an explicit formula for associate Stirling numbers of the second kind in terms of the Stirling numbers of the second kind, and, consequently, present two explicit ...
Feng Qi, Dongkyu Lim
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An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers [PDF]
Mediterranean Journal of Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi
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A simple combinatorial interpretation of certain generalized Bell and Stirling numbers [PDF]
Discrete Mathematics, 2013 In a series of papers, P. Blasiak et al. developed a wide-ranging generalization of Bell numbers (and of Stirling numbers of the second kind) that appears to be relevant to the so-called Boson normal ordering problem. They provided a recurrence and, more recently, also offered a (fairly complex) combinatorial interpretation of these numbers.
Pietro Codara +2 more
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Degenerate Stirling numbers and a family of Bell polynomials
MATHEMATICA, 2022 In this paper, we employ generating functions' techniques to obtain some identities involving degenerate Bell polynomials, multivariate Bell polynomials, and Carlitz degenerate Stirling numbers. Moreover, we obtain some formulas related to an explicit representation and recurrence relations for Lah polynomials.
Madjid Sebaoui +3 more
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Bell Numbers and Stirling Numbers of the Mycielskian of Trees [PDF]
14 pages, 3 tables, 0 ...
Allagan, J., Morgan, G., Sinclair, D.
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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. This allows to deduce in a straightforward fashion many properties of the Stirling and Bell numbers of order 1/2, for ...
Matthias Schork
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q-analogs of the generalized Stirling and Bell numbers
Journal of Physics: Conference Series, 2008 Generalized Stirling numbers appear in a natural way as the coefficients of the normal ordering of a word in the Heisenberg-Weyl algebra of bosonic creation and annihilation operators. We introduce a new combinatorial model for the study of the q-analogs of the generalized Stirling numbers.
Miguel A. Méndez +1 more
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Some Theorems on Tauber's Generalized Stirling, Lah and Bell Numbers
European Journal of Pure and Applied Mathematics, 2019 In this paper, some properties for Tauber's generalized Stirling and Lah numbers are obtained including other forms of recurrence relations, orthogonality and inverse relations, rational generating function and explicit formual in symmetric function form. Moreover, a new explicit formula is derived, which is analogous to the Qi formula.
Roberto B. Corcino +2 more
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Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind [PDF]
, 2022 In the paper, with the aid of the Faà di Bruno formula, in terms of central factorial numbers of the second kind, and with the terminology of the Stirling numbers of the second kind, the authors derive several series expansions for any positive integer powers of the sinc and sinhc functions, discover several closed-form formulas for partial Bell ...
Feng Qi, Peter J. Taylor
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An explicit formula for Bell numbers in terms of Stirling numbers and hypergeometric functions
Global Journal of Mathematical Analysis, 2014 In the paper, the author finds an explicit formula for computing Bell numbers in terms of Kummer confluent hypergeometric functions and Stirling numbers of the second kind.
Bai-Ni Guo, Feng Qi
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