On transformation involving basic analogue of multivariable \(H\)-function (Q2189639)

Summary: In this article, fractional order \(q\)-integrals and \(q\)-derivatives involving a basic analogue of multivariable \(H\)-function have been obtained. We give an application concerning the basic analogue of multivariable \(H\)-function and \(q\)-extension of the Leibniz rule for the fractional \(q\)-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer's \(G\)-function as a particular case of the main result.