On models of $U_q(sl(2))$ and $q$-Appell functions using a $q$-integral transformation
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Abstract:
We discuss few models of the quantum universal enveloping algebra of $sl(2)$ from the special function point of view. Two sets of such models are given, one acting on the space of $_1\phi _0$ functions while the other on the space of $q$βAppell functions. These models are closely related through a $q$βintegral transformation. Some interesting identities are obtained.References
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Additional Information
- Vivek Sahai
- MR Author ID: 307508
- ORCID: 0000-0002-7527-5346
- Email: vsahai@hotmail.com
- Received by editor(s): January 15, 1998
- Published electronically: April 28, 1999
- Additional Notes: The author is thankful to University Grants Commission, India, for the award of a Visiting Associateship
- Communicated by: Hal L. Smith
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3201-3213
- MSC (1991): Primary 33D80, 81R50
- DOI: https://doi.org/10.1090/S0002-9939-99-04978-3
- MathSciNet review: 1616625