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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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.