Transformation formulas and three-term relations for basic hypergeometric series
Classical Analysis and ODEs
2018-03-09 v1
Abstract
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}.
Cite
@article{arxiv.1803.03110,
title = {Transformation formulas and three-term relations for basic hypergeometric series},
author = {Yuka Suzuki},
journal= {arXiv preprint arXiv:1803.03110},
year = {2018}
}
Comments
17pages