Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable

DOI10.1007/978-3-030-36744-2_6zbMath1443.33025OpenAlexW3011242877MaRDI QIDQ3298071

Patrick Njionou Sadjang

Publication date: 21 July 2020

Published in: Orthogonal Polynomials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36744-2_6

zbMATH Keywords

orthogonal polynomialsinversion formulagenerating functionaddition formulamultiplication formulaconnection formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (1)

A finite sequence of Hahn-type discrete orthogonal polynomials

Cites Work

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• Representations of \(q\)-orthogonal polynomials
• On moments of classical orthogonal polynomials
• \(q\)-extension of the Euler formula and trigonometric functions
• Hypergeometric solutions of linear recurrences with polynomial coefficients
• \(q\)-hypergeometric solutions of \(q\)-difference equations
• \( m\)-fold hypergeometric solutions of linear recurrence equations revisited
• Algorithms for \(q\)-hypergeometric summation in computer algebra
• \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series
• Computing hypergeometric solutions of linear recurrence equations
• q-Appell polynomials
• Expansions of Hypergeometric Functions in Hypergeometric Functions
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Quantum calculus

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