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Elsevier, Journal of Computational and Applied Mathematics, 1(173), p. 81-92, 2005

DOI: 10.1016/j.cam.2004.02.018

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Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution

Journal article published in 2005 by I. Area ORCID, E. Godoy, A. Ronveaux, A. Zarzo
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

A Rodrigues type representation for the second kind solution of a second-order q-difference equation of hypergeometric type is given. This representation contains some q-extensions of integrals related with relevant special functions. For these integrals, a general recurrence relation, which only involves the coefficients of the q-difference equation, is also presented.