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arXiv · 1705.09221

Hypergeometric and basic hypergeometric series and integrals associated with root systems

Michael J. Schlosser
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Abstract

We give an overview of some of the main results from the theories of hypergeometric and basic hypergeometric series and integrals associated with root systems. In particular, we list a number of summations, transformations and explicit evaluations for such multiple series and integrals. We concentrate on such results which do not directly extend to the elliptic level. This text is a provisional version of a chapter on hypergeometric and basic hypergeometric series and integrals associated with root systems for volume 2 of the new Askey--Bateman project which deals with "Multivariable special functions".

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Michael J. Schlosser. 2017-05-25. Hypergeometric and basic hypergeometric series and integrals associated with root systems. https://arxiv.org/abs/1705.09221

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