Three-term contiguous functional relationsfor basic bypergeometric series ${}_2$

Abstract

The authors aim mainly at giving ¯fteen three-term contiguous relations for the basic hypergeometric series 2Á1 cor-responding to Gauss's contiguous relations for the hypergeometric series 2F1 given in Rainville([6], p.71). They also apply them to ob-tain two summation formulas closely related to a known q-analogue of Kummer's theorem.