Touchard like polynomials and generalized Stirling numbers

DOI10.1016/j.amc.2011.12.016zbMath1281.33009arXiv1010.5934OpenAlexW2095355713MaRDI QIDQ428059

Giuseppe Dattoli, Maria Renata Martinelli, Paolo Emilio Ricci, Bruna Germano

Publication date: 19 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5934

zbMATH Keywords

Stirling numbersTouchard polynomialsexponential operators

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Hypergeometric functions (33C99)

Related Items (8)

\((p, q)\)-analogues of the generalized Touchard polynomials and Stirling numbers ⋮ On the real-rootedness of generalized Touchard polynomials ⋮ The commutation relation \(xy=qyx+hf(y)\) and Newton's binomial formula ⋮ Analytical properties of Touchard-based hybrid polynomials via operational techniques ⋮ Symbolic methods for the evaluation of sum rules of Bessel functions ⋮ The generalized Touchard polynomials revisited ⋮ On \(q\)-deformed generalized Touchard polynomials ⋮ Limit theorems for numbers satisfying a class of triangular arrays

Cites Work

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• Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering
• The umbral calculus
• The Curious History of Faa di Bruno's Formula
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• Note on Appell polynomials

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