Differential equation and recursive formulas of Sheffer polynomial sequences

DOI10.5402/2011/476462zbMath1237.33008OpenAlexW2088650450WikidataQ58689461 ScholiaQ58689461MaRDI QIDQ410654

Heekyung Youn, Yongzhi Yang

Publication date: 3 April 2012

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

Full work available at URL: https://doi.org/10.5402/2011/476462

zbMATH Keywords

Pascal functionalrecursive formulas of Sheffer polynomial sequencesWronskian matrices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Appell, Horn and Lauricella functions (33C65)

Related Items (8)

Certain properties of the Laguerre-Sheffer polynomials ⋮ A matrix approach to some identities involving Sheffer polynomial sequences ⋮ A new recurrence relation and related determinantal form for binomial type polynomial sequences ⋮ A linear algebra approach to the hybrid Sheffer-Appell polynomials ⋮ Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind ⋮ Certain properties and applications of the 2D Sheffer and related polynomials ⋮ Differential equations for classical and non-classical polynomial sets: a survey ⋮ Some new identities involving Sheffer-Appell polynomial sequences via matrix approach

Cites Work

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• Generalized Pascal functional matrix and its applications
• Differential equation of Appell polynomials via the factorization method
• A selected survey of umbral calculus
• A New Approach to Bernoulli Polynomials

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