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Currently displaying 1 – 6 of 6

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Uniqueness of entire functions concerning difference polynomials

Chao Meng — 2014

Mathematica Bohemica

In this paper, we investigate the uniqueness problem of difference polynomials sharing a small function. With the notions of weakly weighted sharing and relaxed weighted sharing we prove the following: Let $f (z)$ and $g (z)$ be two transcendental entire functions of finite order, and $α (z)$ a small function with respect to both $f (z)$ and $g (z)$ . Suppose that $c$ is a non-zero complex constant and $n \geq 7$ (or $n \geq 10$ ) is an integer. If $f^{n} (z) (f (z) - 1) f (z + c)$ and $g^{n} (z) (g (z) - 1) g (z + c)$ share “ $(α (z), 2)$ ” (or ${(α (z), 2)}^{*}$ ), then $f (z) \equiv g (z)$ . Our results extend and generalize some well known previous results....

Entire functions and their derivatives share two finite sets

Chao Meng — 2013

Matematički Vesnik

Normal families and shared values of meromorphic functions.

Meng, Chao — 2008

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On a result of Ozawa and uniqueness of meromorphic function.

Meng, Chao — 2008

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Value sharing of entire functions.

Meng, Chao — 2008

Applied Mathematics E-Notes [electronic only]

Uniqueness of meromorphic functions sharing one value.

Meng, Chao — 2007

Applied Mathematics E-Notes [electronic only]

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