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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

About this Title

Richard Askey and James Wilson

Publication: Memoirs of the American Mathematical Society
Publication Year: 1985; Volume 54, Number 319
ISBNs: 978-0-8218-2321-7 (print); 978-1-4704-0732-2 (online)
DOI: https://doi.org/10.1090/memo/0319
MathSciNet review: 783216
MSC: Primary 05A30; Secondary 33A65

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Table of Contents

Chapters

• 1. Introduction
• 2. The orthogonality relation
• 3. A quadratic transformation
• 4. Some interesting special cases
• 5. Divided difference operators
• 6. Connection coefficients
• 7. Zeros and inequalitites
• 8. Remarks
• Appendix. The classical hypergeometric orthogonal polynomials