A bilateral series involving basic hypergeometric functions

Details A bilateral series involving basic hypergeometric functions A bilateral series involving basic hypergeometric functions

2003-02-11

arxiv.org/abs/math/0302114v1

Theory and Applications of Special Functions, Developments in Math. 13, Kluwer, 2005, pp. 361-366

Mathematics

Classical Analysis and ODEs

5 pages

Scientific paper

We prove a summation formula for a bilateral series whose terms are products
of two basic hypergeometric functions. In special cases, series of this type
arise as matrix elements of quantum group representations.

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