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Degenerate Stirling numbers and a family of Bell polynomials
MATHEMATICA, 2022In 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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Journal of Mathematical Physics, 2015
We resolve the normal ordering problem for symmetric (Dˆ+Dˆ−)n and asymmetric (Dˆ+rDˆ−)n strings of the nonlinear deformed ladder operators Dˆ± for supersymmetric and shape-invariant potential systems, where r and n are positive integers. We provide exact and explicit expressions for their normal forms N{(Dˆ+Dˆ−)n} and N{(Dˆ+rDˆ−)n}, where in N ...
A. N. F. Aleixo, A. B. Balantekin
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We resolve the normal ordering problem for symmetric (Dˆ+Dˆ−)n and asymmetric (Dˆ+rDˆ−)n strings of the nonlinear deformed ladder operators Dˆ± for supersymmetric and shape-invariant potential systems, where r and n are positive integers. We provide exact and explicit expressions for their normal forms N{(Dˆ+Dˆ−)n} and N{(Dˆ+rDˆ−)n}, where in N ...
A. N. F. Aleixo, A. B. Balantekin
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BELL, BERNOULLI, CAUCHY, HARMONIC AND STIRLING NUMBERS
Algebras Groups and Geometries, 2023S. Vidal-Beltran +3 more
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Generalizations of Stirling-like and Bell-like Numbers
2023Eszter Gyimesi +2 more
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A probabilistic generalization of the Bell polynomials
Journal of Analysis, 2023P Vellaisamy, Vellaisamy P
exaly