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arXiv · 1710.01522

$q-$difference equations concerning with $q-$gamma function

Zhibo Huang·Ranran Zhang
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Abstract

We consider a family of solutions of $q-$difference Riccati equation, and prove the meromorphic solutions of $q-$difference Riccati equation and corresponding second order $q-$difference equation are concerning with $q-$gamma function. The growth and value distribution of differences on solutions of $q-$difference Riccati equation are also investigated.

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Zhibo Huang, Ranran Zhang. 2017-10-04. $q-$difference equations concerning with $q-$gamma function. https://arxiv.org/abs/1710.01522

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