On models of 𝑈_{𝑞}(𝑠𝑙(2)) and 𝑞-Appell functions using a 𝑞-integral transformation

Sahai, Vivek

doi:10.1090/S0002-9939-99-04978-3

On models of $U_q(sl(2))$ and $q$-Appell functions using a $q$-integral transformation
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Proc. Amer. Math. Soc. 127 (1999), 3201-3213 Request permission

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 $q$–Appell functions. These models are closely related through a $q$–integral transformation. Some interesting identities are obtained.

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