Hossam A, Ghany,2019-11-122019-11-122012Cited References in Web of Science Core Collection: 70836-1398https://doi.org/10.4006/0836-1398-25.1.38https://cutt.ly/aePlES0Accession Number: WOS:000303144800005This paper is devoted to give some properties of the q derivatives of basic hypergeometric series with respect to parameters. The q derivatives of the basic hypergeometric functions with respect to parameters are employed to show and explain some properties of the solutions of q-difference equations with basic completely monotone functions as coefficients. As an application, some physical problems related to Jacobi Theta functions and its q derivatives are illustratedenBasic Hypergeometric Functionsq DerivativeJacobi Theta FunctionsArticlehttps://doi.org/10.4006/0836-1398-25.1.38