New transformation and reduction formulae for double -Clausen series

The Sears transformations for non-terminating 3 ϕ 2 -series are applied to derive several general series transformations for another two double q -Clausen series of type Φ 2 : 0 ; μ 1 : 2 ; λ and Φ 2 : 0 ; μ 0 : 3 ; λ . Further new transformations and reduction formulae are established for the basic Clausen hypergeometric series. In particular, several bibasic reduction formulae are obtained.