arXiv subjects

Yuka Suzuki

Publications and source records attributed to Yuka Suzuki.

2 recordsLinked to original sources

arXiv2018

Transformation formulas and three-term relations for basic hypergeometric series

We derive two generalizations of Gasper's transformation formula for basic hypergeometric series. Using these generalized formulas, we give explicit expressions for the coefficients of three-term relations for the basic hypergeometric series {}_{2}phi_{1}, which are generalizations of the author's previous results on three-term relations for {}_{2}phi_{1}.

math.CA↗

arXiv2017

Three term relations for basic hypergeometric series

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.

math.CA↗