Orthogonal polynomials and some q-beta integrals of Ramanujan

DOI10.1016/0022-247X(85)90261-6zbMath0582.33010MaRDI QIDQ1069010

P. I. Pastro

Publication date: 1985

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

zbMATH Keywords

orthogonal polynomials on the unit circleRamanujan integralsbiorthogonal Laurent polynomialsq-extensions of beta integralsRamanujan's Lost Notebook

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Functions of one variable (26A99)

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Cites Work

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• The q-analogue of the Laguerre polynomials
• Polynomials defined by a difference system
• Discrete and continuous boundary problems
• Ramanujan's Extensions of the Gamma and Beta Functions
• The Basic Bessel Functions and Polynomials
• Two Integrals of Ramanujan
• Theq-Gamma andq-Beta Functions†
• Convergence of Continued Fractions