On Properties of meromorphic solutions of difference Painlevé I and II equation
DOI:
https://doi.org/10.14419/gjma.v5i2.7703الكلمات المفتاحية:
Difference، Divided Difference، Difference Painlevé Equations، Meromorphic Functionالملخص
In this paper, we investigate some properties of finite order transcendental meromorphic solutions of difference Painlev \(\)\acute{e}\) I and II equations, and obtain precise estimations of exponents of convergence of poles of difference \(\)\Delta w(z)=w(z+1)-w(z)\) and divided difference \(\)\frac{\Delta w(z)}{w(z)}\), and of fixed points of \(\)w(z+\eta)$ ($\eta\in \mathbb{C}\setminus\{0\}\)).
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