THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION

Yeyang Jiang; Li Liao; Zongxuan Chen

doi:10.11948/2018.32

2018 Volume 8 Issue 1

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Yeyang Jiang, Li Liao, Zongxuan Chen. THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 32-41. doi: 10.11948/2018.32

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Yeyang Jiang, Li Liao, Zongxuan Chen. THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(1): 32-41. doi: 10.11948/2018.32

THE VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF SOME SECOND ORDER NONLINEAR DIFFERENCE EQUATION

1 School of Mathematics and Computer, Jiangxi Science and Technology Normal University, Nanchang, Jiangxi 330038, China;
2 School of Mathematics and Computer, Yichun University, Yichun, Jiangxi 336000, China;
3 School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong 510631, China

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Abstract

Abstract

In this paper, we investigate some properties of solutions for some nonlinear difference equation, and obtain some estimates of the exponent of convergence of poles and growth of its transcendental meromorphic solutions f(z) and its difference ∆f(z). Moreover, we study the existence and forms of rational solutions. We also give some examples to support our theoretical discussion.
- Difference equation /
- meromorphic solution /
- growth /
- rational solutions
MSC: 30D35;39B12

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References

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