Recursion formulas for Srivastava’s general triple q-hypergeometric series

Abstract

We obtain recursion formulas for the Srivastava’s general triple q-hypergeometric series. It is derived that these recursion relations can be represented in terms of q-derivatives of respective Srivastava’s general triple q-hypergeometric series. The peculiar outcome for three Srivastava’s triple q-hypergeometric series $$H_{A, q}$$ , $$H_{B, q}$$ and $$H_{C, q}$$ are also drawn from the recursion formulas for the Srivastava’s general triple q-hypergeometric series.