Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials

DOI10.1080/10652460500422270zbMath1098.33005OpenAlexW2001982334MaRDI QIDQ5478734

Hany M. Ahmed, Eid H. Doha

Publication date: 13 July 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500422270

zbMATH Keywords

difference equationsrecurrence relationsKrawtchouk polynomialsexpansion coefficientsconnection coefficientsdifference derivative

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

Algorithms for construction of recurrence relations for the coefficients of the Fourier series expansions with respect to classical discrete orthogonal polynomials ⋮ Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials ⋮ Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm

Uses Software

• Mathematica

Cites Work

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