Askey-Wilson functions of the first and second kind: Series and integral representations of \(C^ 2_ n(x ;\beta{}|{}q)+D^ 2_ n(x ;\beta{}|{}q)\)
From MaRDI portal
Publication:1192146
DOI10.1016/0022-247X(92)90156-8zbMath0765.33012MaRDI QIDQ1192146
Publication date: 27 September 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Spherical harmonics (33C55)
Related Items (9)
Orthogonal Polynomials in Mathematical Physics ⋮ An inverse to the Askey-Wilson operator. ⋮ Connection relations and characterizations of orthogonal polynomials ⋮ Functions of the second kind for classical polynomials ⋮ On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations ⋮ A Q-EXTENSION OF A PRODUCT FORMULA OF WATSON ⋮ BC type \(z\)-measures and determinantal point processes ⋮ An Eigenvalue Problem for the Associated Askey–Wilson Polynomials ⋮ Expansion of analytic functions in \(q\)-orthogonal polynomials
Cites Work
- Jacobi functions as limit cases of q-ultraspherical polynomials
- On the Askey-Wilson polynomials
- An Integral of Products of Ultraspherical Functions and a q -Extension
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- q-Wilson Functions of the Second Kind
- A Nonterminating q-Clausen Formula and Some Related Product Formulas
- The Associated Askey-Wilson Polynomials
- Product Formulas and Nicholson-Type Integrals for Jacobi Functions. I: Summary of Results
- q-Extensions of Clausen’s Formula and of the Inequalities Used by de Branges in His Proof of the Bieberbach, Robertson, and Milin Conjectures
- The theory of difference analogues of special functions of hypergeometric type
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Askey-Wilson functions of the first and second kind: Series and integral representations of \(C^ 2_ n(x ;\beta{}|{}q)+D^ 2_ n(x ;\beta{}|{}q)\)
