Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice \(x(s)=q^{2s}\)

DOI10.1016/S0377-0427(98)00162-9zbMath0933.33012MaRDI QIDQ1298567

Stanisław Lewanowicz

Publication date: 22 August 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

classical orthogonal polynomials

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Other special orthogonal polynomials and functions (33C47)

Related Items

Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class., Construction of recurrences for the coefficients of expansions in \(q\)-classical orthogonal polynomials, Recurrence relations for the connection coefficients of classical orthogonal polynomials, On linearization and connection coefficients for generalized Hermite polynomials, Connection coefficients between orthogonal polynomials and the canonical sequence: An approach based on symbolic computation, On the connection and linearization problem for discrete hypergeometric \(q\)-polynomials, On theq-polynomials in the exponential latticex(s)=c₁q^s+c₃

Cites Work

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• \(q\)-analogue of the Krawtchouk and Meixner orthogonal polynomials
• Linearization of the product of orthogonal polynomials of a discrete variable
• Recurrence relations for connection coefficients betweenQ-orthogonal polynomials of discrete variables in the non-uniform lattice
• On theq-polynomials in the exponential latticex(s)=c₁q^s+c₃
• Polynomial solutions of hypergeometric type difference equations and their classification
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable