Some properties of meromorphic solutions for q-difference equations
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Date
2017-07-10
Authors
Xu, Hong Yan
Liu, San Yang
Zheng, Xiu-Min
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
The main purpose of this article is to investigate some properties on the meromorphic solutions of some types of q-difference equations, which can be seen the q-difference analogues of Painevé equations. We obtain estimates of the exponent of convergence of poles of ∆qƒ(z) ≔ ƒ(qz) - ƒ(z), which extends some earlier results by Chen et al.
Description
Keywords
Meromorphic function, q-Difference equation, Zero order
Citation
Xu, H. Y., Liu, S. Y., & Zheng, X. M. (2017). Some properties of meromorphic solutions for q-difference equations. Electronic Journal of Differential Equations, 2017(175), pp. 1-12.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.