Chapter 5


From basic to classical hypergeometric orthogonal polynomials




5.1
Askey-Wilson --> Wilson
5.2
q-Racah --> Racah
5.3
Continuous dual q-Hahn --> Continuous dual Hahn
5.4
Continuous q-Hahn --> Continuous Hahn
5.5
Big q-Jacobi --> Jacobi
5.5.1
Big q-Legendre --> Legendre / Spherical
5.6
q-Hahn --> Hahn
5.7
Dual q-Hahn --> Dual Hahn
5.8
Al-Salam-Chihara --> Meixner-Pollaczek
5.9
q-Meixner-Pollaczek --> Meixner-Pollaczek
5.10
Continuous q-Jacobi --> Jacobi
5.10.1
Continuous q-ultraspherical / Rogers --> Gegenbauer / Ultraspherical
5.10.2
Continuous q-Legendre --> Legendre / Spherical
5.11
Big q-Laguerre --> Laguerre
5.12
Little q-Jacobi --> Jacobi / Laguerre
5.12.1
Little q-Legendre --> Legendre / Spherical
5.13
q-Meixner --> Meixner
5.14
Quantum q-Krawtchouk --> Krawtchouk
5.15
q-Krawtchouk --> Krawtchouk
5.16
Affine q-Krawtchouk --> Krawtchouk
5.17
Dual q-Krawtchouk --> Krawtchouk
5.18
Continuous big q-Hermite --> Hermite
5.19
Continuous q-Laguerre --> Laguerre
5.20
Little q-Laguerre / Wall --> Laguerre / Charlier
5.21
q-Laguerre --> Laguerre
5.22
Alternative q-Charlier --> Charlier
5.23
q-Charlier --> Charlier
5.24
Al-Salam-Carlitz I --> Charlier / Hermite
5.25
Al-Salam-Carlitz II --> Charlier / Hermite
5.26
Continuous q-Hermite --> Hermite
5.27
Stieltjes-Wigert --> Hermite
5.28
Discrete q-Hermite I --> Hermite
5.29
Discrete q-Hermite II --> Hermite


Last modified on December 1, 1998