In the spirit of Hasanov, Srivastava, and Turaev (2006), Ernst introduce new inverse operators together with a more general operator and find a summation formula for the last one. Based these operators and the earlier known q-analogues of the Burchnall-Chaundy operators. In section 1 some definitions and notations are introduce the inverse q-analogue operators for an arbitrary number of three complex variables, also, we derive some computations formulas for HB Srivastava’s hypergeometric functions. Finally, in section 2 we investigate some derivations of decomposition formulas for Srivastava’s qHB- hypergeometric functions of three complex variables are given.