Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series
Combinatorics
2011-03-25 v2
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.
Cite
@article{arxiv.math/0512571,
title = {Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series},
author = {Victor J. W. Guo and Jiang Zeng},
journal= {arXiv preprint arXiv:math/0512571},
year = {2011}
}
Comments
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guo