On a formula of the $q$-series ${}_{2k+4}\ddot{I}{•}_{2k+3}$ and its applications

George E. Andrews, Mohamed El Bachraoui

In this paper we apply a formula of the very-well poised ${}_{2k+4}\ddot{I}{•}_{2k+3}$ to write a $k$-tuple sum of $q$-series as a linear combination of terms wherein each term is a product o…