Proceedings of the American Mathematical Society

Author(s): Fethi Bouzeffour
Journal: Proc. Amer. Math. Soc. 135 (2007), 2131-2139.
MSC (2000): Primary 33D05, 33D15, 33D90, 33C10
Posted: February 6, 2007
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 33D05, 33D15, 33D90, 33C10

Fethi Bouzeffour
Affiliation: Institut Préparatoire aux Études d'Ingénieur de Bizerte, Tunisia
Email: bouzeffourfethi@yahoo.fr

DOI: 10.1090/S0002-9939-07-08717-5
PII: S 0002-9939(07)08717-5
Keywords: q-sampling theorem, q-difference, q-special functions
Received by editor(s): February 8, 2006
Received by editor(s) in revised form: March 17, 2006
Posted: February 6, 2007
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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