Differential equations for classical and non-classical polynomial sets: a survey

DOI10.3390/axioms8020050zbMath1432.33015OpenAlexW2941151164MaRDI QIDQ2306323

Paolo Emilio Ricci

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms8020050

zbMATH Keywords

generating functionsdifferential equationsmonomiality principleSheffer polynomial sets

Mathematics Subject Classification ID

Special polynomials in general fields (12E10) Hypergeometric functions (33C99)

Related Items

\(\Delta_h\)-Gould-Hopper Appell polynomials

Uses Software

• OEIS

Cites Work

• Differential equation and recursive formulas of Sheffer polynomial sequences
• Recurrence relations for the Sheffer sequences
• Monomiality and partial differential equations
• Some results on quasi-monomiality.
• Proceedings of the 3rd Melfi workshop on advanced special functions and related topics in differential equations, Melfi, Italy, June 24--29, 2001
• Bell-Sheffer exponential polynomials of the second kind
• Logarithmic-Sheffer polynomials of the second kind
• New Bell-Sheffer polynomial sets
• A family of complex Appell polynomial sets
• Some properties of polynomial sets of type zero
• The poweroid, an extension of the mathematical notion of power
• An algebraic exposition of umbral calculus with application to general linear interpolation problem: A survey
• An algebraic approach to Sheffer polynomial sequences
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