Certain Transformation and Summation Formulae for Poly - Basic Hypergeometric Series

We offer an overview of some of the main findings from the hypergeometric sequence theories and integrals associated with root systems. In particular, for such multiple series and integrals, we list a number of summations, transformations and explicit evaluations. Interesting transformation formulas for poly - basic hypergeometric using some known summation formulae and the identity defined herein. In particular, for such multiple series and integrals, we list a number of summations, transformations and explicit evaluations. Interesting transformation formulas for poly - basic hypergeometric sequence have been constructed using some known summation formulae and the identity set out herein.