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 December 3, 2024)
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Two-dimensional contiguous relations for linearization coefficients of orthogonal polynomials in the Askey-scheme
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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
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Journals
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Keywords
orthogonal polynomials, contiguous relations, hypergeometric functions
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Created February 10, 2023, Updated March 27, 2024