Coxeter group actions on Saalschützian ${}_4{F}_3(1)$ series and very-well-poised ${}_7{F}_6(1)$ series

Ilia D. Mishev

In this paper we consider a function $L(\vec{x})=L(a,b,c,d;e;f,g)$, which can be written as a linear combination of two Saalschützian ${}_4{F}_3(1)$ hypergeometric series or as a ver…