Abstract
The authors aim mainly at giving fifteen three-term contiguous relations for the basic hypergeometric series <TEX>$series\;_2{\phi}_1$</TEX> corresponding to Gauss's contiguous relations for the hypergeometric series <TEX>$series\;_2F_1$</TEX> given in Rainville([6], p.71). They also apply them to obtain two summation formulas closely related to a known q-analogue of Kummer's theorem.
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