A probabilistic generalization of the Stirling numbers of the second kind

DOI10.1016/j.jnt.2018.07.003zbMath1437.11037arXiv1803.04914OpenAlexW2963391815WikidataQ114157304 ScholiaQ114157304MaRDI QIDQ1788106

José A. Adell, Alberto Lekuona

Publication date: 8 October 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04914

zbMATH Keywords

difference operatorspolylogarithmsBell polynomialsAppell polynomialssum of powers formulageneralized Stirling numbers of the second kind

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Probability distributions: general theory (60E05) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hurwitz and Lerch zeta functions (11M35)

Related Items (5)

Unnamed Item ⋮ A unified approach to higher order convolutions within a certain subset of Appell polynomials ⋮ Estimates for the differences of positive linear operators and their derivatives ⋮ Probabilistic degenerate Stirling polynomials of the second kind and their applications ⋮ Probabilistic Stirling numbers of the second kind and applications

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