Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series
arXiv:math/0512571 · doi:10.1016/j.jmaa.2006.04.040
Abstract
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.
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guo