Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series

Details Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series

2005-12-26

arxiv.org/abs/math/0512571v2

J. Math. Anal. Appl. 327 (2007), 310-325

Mathematics

Combinatorics

17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guo

Scientific paper

10.1016/j.jmaa.2006.04.040

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.

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