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math.CA1998
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…
math.CA1998
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…