A Connection Formula for the $q$-Confluent Hypergeometric Function
Classical Analysis and ODEs
2013-07-29 v3
Abstract
We show a connection formula for the -confluent hypergeometric functions . Combining our connection formula with Zhang's connection formula for , we obtain the connection formula for the -confluent hypergeometric equation in the matrix form. Also we obtain the connection formula of Kummer's confluent hypergeometric functions by taking the limit of our connection formula.
Cite
@article{arxiv.1105.5770,
title = {A Connection Formula for the $q$-Confluent Hypergeometric Function},
author = {Takeshi Morita},
journal= {arXiv preprint arXiv:1105.5770},
year = {2013}
}