整函数与其两个导数CM共享一个值

Abstract

Abstract:

This paper studies the uniqueness problem on entire functions that share a finite, nonzero value with two of their derivatives and gives the definite expressions of the functions which appear to be a proper answer to the question proposed by Yi H X and Yang C C

Key words: Entire function, Shared value, Uniqueness

CLC Number:

30D35

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WANG Jian-Beng, YI Hong-Xun. Entire Functions That Share a Value CM with Their Two Derivatives[J].Acta mathematica scientia,Series A, 2005, 25(5): 612-620.

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References

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[2]Jank G, Mues Volkmann E. Meromorphe funktionen, die mit ihrerersten und zweiten ableitung einen endlichen werte teilen. Complex Variables Theory Appl, 1986, 6: 51-71

[3]仪洪勋, 杨重骏. 亚纯函数唯一性理论. 北京: 科学出版社, 1995

[4]Frank G， Weissenborn G. Meromorphe funktionen, die mit einer ihrer ableitungen werte teilen. Complex Variables, 1986,7:33-43

[5]Li P, Yang C C. When an entire function and its linear differential polynomial share two values. Illinois J Math, 2000,44:349-362

[6]Li P, Yang C C. Value sharing of an entire function and its devivatives. J Math Soc Japan, 1999, 51: 781-799

[7]Yang L Z. Further results on entire functions that share one value with their derivatives. J Math Anal Appl, 1997, 212: 529-536

[8]Wang J P, Yi H X. Entire functions that share one value CM with their derivatives. J Math Anal Appl, 2003,277:155-163

[9]Yang L Z. Solution of a differential equation andits applications. Kodai Math J, 1999,22:458-464

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Entire Functions That Share a Value CM with Their Two Derivatives

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