Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On models of and -Appell functions using a -integral transformation

Author(s): Vivek Sahai
Journal: Proc. Amer. Math. Soc. 127 (1999), 3201-3213.
MSC (1991): Primary 33D80, 81R50
Posted: April 28, 1999
MathSciNet review: 1616625
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Abstract: We discuss few models of the quantum universal enveloping algebra of 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 -Appell functions. These models are closely related through a -integral transformation. Some interesting identities are obtained.

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