Three term relations for basic hypergeometric series
Classical Analysis and ODEs
2017-03-28 v1
Abstract
Any three basic hypergeometric series {}_{2}phi_{1} whose respective parameters (a, b, c) differ by integer powers of the base q satisfy a linear relation with coefficients which are rational functions of a, b, c, q and the variable x. These relations are called three term relations for the basic hypergeometric series {}_{2}phi_{1}. This paper gives explicit expressions for the coefficients of these three term relations.
Keywords
Cite
@article{arxiv.1703.08753,
title = {Three term relations for basic hypergeometric series},
author = {Yuka Suzuki},
journal= {arXiv preprint arXiv:1703.08753},
year = {2017}
}
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16pages