Symmetric expansions of very well-poised basic hypergeometric series

George E. Andrews

doi:10.1142/9789813228887_0003

Symmetric expansions of very well-poised basic hypergeometric series

George E. Andrews

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The classical transformation of the very well-poised 2k+4f2k+3 reduces the symmetry of the original series from the full symmetric group, S2k, in the 2k parameters to Sk 2 symmetry. Thus, the symmetry drops from a group of (2k)! elements to a group of 2k elements. In this paper, a more symmetric expansion is obtained where the image symmetry group is S_k × S^k₂.

Original language	English (US)
Title of host publication	Frontiers In Orthogonal Polynomials and Q-series
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	21-33
Number of pages	13
Volume	1
ISBN (Electronic)	9789813228887
ISBN (Print)	9789813228870
DOIs	https://doi.org/10.1142/9789813228887_0003
State	Published - Jan 12 2018

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/9789813228887_0003

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Symmetric expansions of very well-poised basic hypergeometric series

Abstract

All Science Journal Classification (ASJC) codes

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