@inproceedings{08b1f598380844dd9f7e9fdf9aa38d5b,
title = "On a system of q-partial differential equations with applications to q-series",
abstract = "Using the theory of functions of several variables and q-calculus, we prove an expansion theorem for the analytic function in several variables which satisfies a system of q-partial differential equations. Some curious applications of this expansion theorem to q-series are discussed. In particular, an extension of Andrews{\textquoteright} transformation formula for the q-Lauricella function is given.",
keywords = "Analytic function, q-Integrals, q-Partial derivative, q-Partial differential equations",
author = "Liu, \{Zhi Guo\}",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; International Gainesville Number Theory Conference in Honor of Krishna Alladi{\textquoteright}s 60th Birthday, 2016 ; Conference date: 17-03-2016 Through 21-03-2016",
year = "2017",
doi = "10.1007/978-3-319-68376-8\_25",
language = "英语",
isbn = "9783319683751",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "445--461",
editor = "Andrews, \{George E.\} and Frank Garvan",
booktitle = "Analytic Number Theory, Modular Forms and q-Hypergeometric Series - In Honor of Krishna Alladi{\textquoteright}s 60th Birthday, 2016",
}