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

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 in...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2005, Vol.173 (1), p.81-92
Main Authors: Area, I., Godoy, E., Ronveaux, A., Zarzo, A.
Format: Article
Language:English
Subjects:
Functions of the second kind
Orthogonal polynomials
Second-order q-difference equations of hypergeometric type
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2004.02.018