$q-$difference equations concerning with $q-$gamma function
Complex Variables
2017-10-05 v1 Classical Analysis and ODEs
Abstract
We consider a family of solutions of difference Riccati equation, and prove the meromorphic solutions of difference Riccati equation and corresponding second order difference equation are concerning with gamma function. The growth and value distribution of differences on solutions of difference Riccati equation are also investigated.
Keywords
Cite
@article{arxiv.1710.01522,
title = {$q-$difference equations concerning with $q-$gamma function},
author = {Zhibo Huang and Ranran Zhang},
journal= {arXiv preprint arXiv:1710.01522},
year = {2017}
}