On Touchard polynomials

DOI10.1016/0012-365X(85)90075-5zbMath0567.33013MaRDI QIDQ1059752

Ourania Chryssaphinou

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Stirling numbersTouchard polynomialsBell polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other special functions (33E99) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (8)

Touchard wavelet technique for solving time-fractional Black-Scholes model ⋮ On the real-rootedness of generalized Touchard polynomials ⋮ The Touchard distribution ⋮ Tsallis \(p,q\)-deformed Touchard polynomials and Stirling numbers ⋮ A formula relating Bell polynomials and Stirling numbers of the first kind ⋮ The partial \(r\)-Bell polynomials ⋮ High relative accuracy through Newton bases ⋮ Analytical properties of Touchard-based hybrid polynomials via operational techniques

Cites Work

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• On the differences of the generalized factorials at an arbitrary point and their combinatorial applications
• Operational formulas connected with two generalizations of Hermite polynomials
• Non-central Stirling numbers and some applications

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