Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution
(2005) Journal of Computational and Applied Mathematics — Vol. 173, n° 1, p. 81-92 (2005)
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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. (C) 2004 Elsevier B.V. All rights reserved.
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Citations
Area, I., Godoy, E., Ronveaux, A., & Zarzo, A. (2005). Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution. Journal of Computational and Applied Mathematics, 173(1), 81-92. https://doi.org/10.1016/j.cam.2004.02.018 (Original work published 2005)