Motzkin Numbers: an Operational Point of View

zbMath1400.11072arXiv1703.07262MaRDI QIDQ4585758

Silvia Licciardi, Marcello Artioli, Simonetta Pagnutti, Giuseppe Dattoli

Publication date: 7 September 2018

Full work available at URL: https://arxiv.org/abs/1703.07262

zbMATH Keywords

combinatoricsumbral calculusspecial functionsMotzkin numberoperator theory

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Other combinatorial number theory (11B75) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (2)

Unnamed Item ⋮ Operational, umbral methods, Borel transform and negative derivative operator techniques

Uses Software

• Wolfram Demonstrations

Cites Work

• Unnamed Item
• Unnamed Item
• Two explicit formulas for the generalized Motzkin numbers
• The theory of the umbral calculus. I
• Catalan, Motzkin, and Riordan numbers
• Operational versus umbral methods and the Borel transform
• Dom Hans Van der Laan and the plastic number
• Properties of Cordonnier, Perrin and Van der Laan numbers
• On a family of hybrid polynomials
• Motzkin numbers, central trinomial coefficients and hybrid polynomials
• Motzkin numbers

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