Proceedings of the American Mathematical Society

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

A -sampling theorem and product formula for continuous -Jacobi functions

Author(s): Fethi Bouzeffour
Journal: Proc. Amer. Math. Soc. 135 (2007), 2131-2139.
MSC (2000): Primary 33D05, 33D15, 33D90, 33C10
Posted: February 6, 2007
MathSciNet review: 2299491
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: In this paper we derive a q-analogue of the sampling theorem for Jacobi functions. We also establish a product formula for the nonterminating version of the q-Jacobi polynomials. The proof uses recent results in the theory of q-orthogonal polynomials and basic hypergeometric functions.

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