Linearization and connection coefficients of orthogonal polynomials

DOI10.1007/BF01301074zbMath0766.33008MaRDI QIDQ1207674

Ryszard Szwarc

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178569

zbMATH Keywords

recurrence formula

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 (11)

A few remarks on orthogonal polynomials ⋮ Recurrence relations for connection coefficients between two families of orthogonal polynomials ⋮ Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials ⋮ Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials ⋮ The spectral connection matrix for classical orthogonal polynomials of a single parameter ⋮ A note on property (T) of orthogonal polynomials ⋮ On the connection and linearization problem for discrete hypergeometric \(q\)-polynomials ⋮ Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas ⋮ On the linearization problem involving Pochhammer symbols and their \(q\)-analogues

Cites Work

• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Orthogonal Polynomials and a Discrete Boundary Value Problem I
• Orthogonal Polynomials and a Discrete Boundary Value Problem II
• Connection Coefficients of Orthogonal Polynomials
• A Characterization of M. W. Wilson's Criterion for Nonnegative Expansions of Orthogonal Polynomials
• Orthogonal polynomials
• Orthogonal Polynomials and Hypergroups II--The Symmetric Case
• Nonnegative Expansions of Polynomials
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