Abstract

GALUE, Leda. Some results on a fractional q-integral operator involving generalized basic hypergeometric function. Rev. Téc. Ing. Univ. Zulia [online]. 2012, vol.35, n.3, pp.302-310. ISSN 0254-0770.

In this paper the operator L(.) of the basic multiple hypergeometric function given by Yadav et al. is used in order to obtain the fractional q-integral operator L(.) of the generalized basic hypergeometric function _rΦ_s(.), also the q-Mellin transformfor the operator L(.) is presented. Various interesting special cases, involving q-special functions, have been derived as application of the main result.

Keywords : fractional q-integral operators; generalized basic hypergeometric function; q-Mellin transform; q-special functions.

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