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Two-dimensional contiguous relations for linearization coefficients of orthogonal polynomials in the Askey-scheme

Published

Author(s)

Howard Cohl, Lisa Ritter

Abstract

By using the three-term recurrence relation for orthogonal polynomials, we produce a collection of two-dimensional contiguous relations for certain generalized hypergeometric functions. These generalized hypergeometric functions arise through linearization coefficients for some classical orthogonal polynomials in the Askey-scheme, namely Gegenbauer (ultraspherical), Hermite, Jacobi and Laguerre polynomials.
Citation
Journal of Approximation Theory

Keywords

orthogonal polynomials, contiguous relations, hypergeometric functions

Citation

Cohl, H. and Ritter, L. (2023), Two-dimensional contiguous relations for linearization coefficients of orthogonal polynomials in the Askey-scheme, Journal of Approximation Theory, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=934650 (Accessed April 23, 2024)
Created February 10, 2023, Updated March 27, 2024