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Recurrence relations, continued fractions, and orthogonal polynomials
About this Title
Richard Askey and Mourad Ismail
Publication: Memoirs of the American Mathematical Society
Publication Year:
1984; Volume 49, Number 300
ISBNs: 978-0-8218-2301-9 (print); 978-1-4704-0710-0 (online)
DOI: https://doi.org/10.1090/memo/0300
MathSciNet review: 743545
MSC: Primary 33A65; Secondary 05A99, 30E99, 42C05, 44A15
Table of Contents
Chapters
- 1. Introduction
- 2. Continued fractions and orthogonal polynomials
- 3. The AI-Salam-Chihara polynomials
- 4. Probability theory and orthogonal polynomials
- 5. The Hadamard integral
- 6. The random walk polynomials $G_n(x;a,b)$
- 7. A $q$-extension of the random walk polynomials
- 8. The polynomials $\{C^\alpha _n(x;\beta |-1)\}$
- 9. Comments and further problems
- 10. Addenda with additional references