TY  - BOOK
AU  - Askey,Richard
AU  - Wilson,James
TI  - Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407322
AV  - QA3 -- .A854 1985eb 
U1  - 515/.55 
PY  - 1985///
CY  - Providence
PB  - American Mathematical Society
KW  - Orthogonal polynomials
KW  - Jacobi polynomials
KW  - Electronic books
N1  - Intro -- Table of Contents -- 1. Introduction -- Recurrence relation -- 2. The orthogonality relation -- A q-beta integral -- The absolute continuous orthogonality -- 3. A quadratic transformation -- 4. Some interesting special cases -- Continuous q-ultraspherical polynomials -- Continuous q-Jacobi polynomials -- Continuous q-Laguerre polynomials -- Al-Salam-Chihara polynomials -- Generalized Tchebycheff polynomials -- Continuous q-symmetric Hahn polynomials -- q-Meixner-Pollaczek polynomials -- 5. Divided difference operators -- Second order difference equation -- Rodrigues type formula -- 6. Connection coefficients -- 7. Zeros and inequalitites -- 8. Remarks -- Appendix -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113914
ER  -