Connection relations and bilinear formulas for the classical orthogonal polynomials

DOI10.1016/0022-247X(77)90241-4zbMath0346.33016OpenAlexW2008300381MaRDI QIDQ1233542

Mourad E. H. Ismail

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90241-4

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalue problems for integral equations (45C05)

Related Items (8)

Random walk with long-range interaction with a barrier and its dual: exact results ⋮ \(q\)-fractional integral operators with two parameters ⋮ Gibbs sampling, exponential families and orthogonal polynomials ⋮ Combinatorial and analytic properties of the \(n\)-dimensional Hermite polynomials ⋮ Expansions of one density via polynomials orthogonal with respect to the other ⋮ The combinatorics of associated Hermite polynomials ⋮ Dual and triple equations andq-orthogonal polynomials ⋮ \(q\)-fractional Askey-Wilson integrals and related semigroups of operators

Cites Work

• The representation of an analytic function by general Laguerre series
• Polynomials orthogonal with respect to discrete convolution
• Construction of a Family of Positive Kernels from Jacobi Polynomials
• Some Orthogonality Preserving Operators
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