On multiple Appell polynomials

DOI10.1090/S0002-9939-2010-10648-2zbMath1223.42020MaRDI QIDQ3005625

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Publication date: 9 June 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsAppell polynomialsmultiple orthogonal polynomialsmultiple Appell polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (12)

Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials ⋮ Generalization of Szász operators involving multiple Sheffer polynomials ⋮ Critical points, critical values, and a determinant identity for complex polynomials ⋮ Explicit formula for generalization of poly-Bernoulli numbers and polynomials with a,b,c parameters ⋮ More properties on multi-poly-Euler polynomials ⋮ Jakimovski-Leviatan operators of Kantorovich type involving multiple Appell polynomials ⋮ On certain generalized \(q\)-Appell polynomial expansions ⋮ Approximation by Jakimovski-Leviatan operators of Durrmeyer type involving multiple Appell polynomials ⋮ Generalization of Szász-Mirakjan-Kantorovich operators using multiple Appell polynomials ⋮ Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c ⋮ Multi Poly-Bernoulli and Multi Poly-Euler Polynomials ⋮ Image of polynomials under generalized Szász operators

Cites Work

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• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Some classical multiple orthogonal polynomials

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