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Uniqueness of meromorphic functions sharing two finite sets

100%

Chen J.-F.

Open Mathematics

2017

tom 15

nr 1

1244-1250

We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

88%

Luo L.-Q., Zheng X.-M.

Open Mathematics

2016

tom 14

nr 1

970-976

In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the convergence exponents of the zeros, poles, a-points and small function value points of the solutions, which show the relations in the case of non-homogeneous equations are sharper than the ones in the case of homogeneous equations.

Ograniczanie wyników

2 Open Mathematics

1 Chen J.-F.

1 Luo L.-Q.

1 Zheng X.-M.

1 2017

1 2016

Wyniki wyszukiwania

Uniqueness of meromorphic functions sharing two finite sets

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations