### On meromorphic solutions of a functional equation, II

J. Matkowski (1971)

Annales Polonici Mathematici

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J. Matkowski (1971)

Annales Polonici Mathematici

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Fred Gross, Chung-Chun Yang (1973)

Annales Polonici Mathematici

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R. GOLDSTEIN (1973)

Aequationes mathematicae

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R. Goldstein (1972)

Aequationes mathematicae

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R. Goldstein (1977)

Aequationes mathematicae

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R. Goldstein (1978)

Aequationes mathematicae

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R. Goldstein (1977)

Aequationes mathematicae

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Ping Li, Xianyang Zhang (2008)

Annales Polonici Mathematici

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We apply Nevanlinna's value distribution theory to show that some functional equations of Diophantine type have no admissible meromorphic solutions. This result confirms a recent conjecture of Li and Yang.

R. Goldstein (1972)

Aequationes mathematicae

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Teresa Bermúdez (1997)

Extracta Mathematicae

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S. K. Bajpai, T. J. S. Mehrok (1975)

Annales Polonici Mathematici

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I. Lahiri (1989)

Matematički Vesnik

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H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1976)

Annales Polonici Mathematici

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Xiao-Min Li, Hong-Xun Yi (2010)

Annales Polonici Mathematici

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We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.