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A second addition formula for continuous q-ultraspherical polynomials
Tom H. Koornwinder
This paper provides the details of Remark 5.4 in the author's paper "Askey-Wilson polynomials as zonal spherical functions on the SU(2) quantum group", SIAM J. Math. Anal. 24 (1993…
A q-analogue of convolution on the line
G. Carnovale, T. H. Koornwinder
In this paper we study a q-analogue of the convolution product on the line in detail. A convolution product on the braided line was defined algebraically by Kempf and Majid. We ada…
q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations
Nicola Ciccoli, Erik Koelink, Tom H. Koornwinder
The q-Laguerre polynomials correspond to an indetermined moment problem. For explicit discrete non-N-extremal measures corresponding to Ramanujan's -summation we complemen…
Identities of nonterminating series by Zeilberger's algorithm
Tom H. Koornwinder
This paper argues that automated proofs of identities for non-terminating hypergeometric series are feasible by a combination of Zeilberger's algorithm and asymptotic estimates. Fo…