Generalized Sheffer sequences satisfying piecewise functional conditions

DOI10.1016/S0898-1221(01)00088-8zbMath0999.05009MaRDI QIDQ5948778

Heinrich Niederhausen

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

umbral calculuslinear functionalsinitial conditionsoperator equationsSheffer sequences

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Functional inequalities, including subadditivity, convexity, etc. (39B62) Special sequences and polynomials (11B83)

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Cites Work

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• Recursive initial value problems for Sheffer sequences
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• On Generating Functions of Polynomial Systems