Some Basic Hypergeometric Orthogonal Polynomials That Generalize Jacobi Polynomials.
- 1st ed.
- 1 online resource (63 pages)
- Memoirs of the American Mathematical Society ; v.54 .
- Memoirs of the American Mathematical Society .
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.