| We explore a function L(a, b, c, d; e; f, g ), which is a linear combination of two Saalschutzian 4F3(1) hypergeometric series. We obtain an invariance group GL for L, which is isomorphic to the Coxeter group W(D 5) of order 1920. We further obtain 220 three-term relations for the L function, which are divided into two families based on the orbits of a certain group action. Finally, we compare the L function to a function K(a; b, c, d; e, f, g), which is another linear combination of two Saalschutzian 4 F3(1) hypergeometric series. We derive three-term relations involving one K and two L functions, and three-term relations involving one L and two K functions. |
