Linearization of the product of orthogonal polynomials of a discrete variable

DOI10.4064/am-24-4-445-455zbMath0891.33006OpenAlexW30623954MaRDI QIDQ4365508

Stanisław Lewanowicz, André Ronveaux, S. Belmehdi

Publication date: 20 July 1998

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219184

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions coming from differential, difference and integral equations (33E30)

Related Items (8)

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials ⋮ Linearization coefficients for Sheffer polynomial sets via lowering operators ⋮ Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ On the connection and linearization problem for discrete hypergeometric \(q\)-polynomials ⋮ Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice \(x(s)=q^{2s}\) ⋮ On the linearization problem involving Pochhammer symbols and their \(q\)-analogues

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