Ultraspherical moments on a set of disjoint intervals

DOI10.1016/J.INDAG.2019.02.003zbMath1433.33006arXiv1901.04219OpenAlexW2963421771MaRDI QIDQ2422268

Hashem AlSabi, James Griffin

Publication date: 18 June 2019

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04219

zbMATH Keywords

hypergeometric functionPell equationsultraspherical moments

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Other special orthogonal polynomials and functions (33C47) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• A generalized beta integral on two intervals
• A limiting case of a generalized beta integral on two intervals
• Computations with half-range Chebyshev polynomials
• On the Fourier Extension of Nonperiodic Functions
• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping
• Polynomial Pell's Equations
• A generalization of the Chebyshev polynomials

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