Short Proofs of Summation and Transformation Formulas for Basic   Hypergeometric Series
  We show that several terminating summation and transformation formulas for basic hypergeometric series can be proved in a straightforward way. Along the same line, new finite forms of Jacobi's triple product identity and Watson's quintuple product identity are also proved. 
Victor J. W. Guo and Jiang Zeng (Universite Claude Bernard Lyon-I)