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On the uniqueness problem for meromorphic mappings with truncated multiplicities

Feng Lü — 2014

Annales Polonici Mathematici

The purpose of this paper is twofold. The first is to weaken or omit the condition $d i m f^{- 1} (H_{i} \cap H_{j}) \leq m - 2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_{j}$ such that f(z) = g(z) on $⋃_{j = 1}^{q} f^{- 1} (H_{j})$ , where f,g are meromorphic mappings.

Entire functions that share a function with their first and second derivatives

Feng Lü; Junfeng Xu — 2012

Annales Polonici Mathematici

Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).

Uniqueness theorems and normal families of entire functions and their derivatives

Feng Lü; Junfeng Xu; Hongxun Yi — 2009

Annales Polonici Mathematici

We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.

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Currently displaying 1 – 6 of 6

On the uniqueness problem for meromorphic mappings with truncated multiplicities

Entire functions that share a function with their first and second derivatives

Uniqueness theorems and normal families of entire functions and their derivatives

Entire functions that share values with their derivatives.

Uniqueness of entire functions sharing polynomials with their derivatives.

Homotopy perturbation method for solving reaction-diffusion equations.