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Entire Functions Sharing an Entire Function of Smaller Order with Their Diference Operators

Entire Functions Sharing an Entire Function of Smaller Order with Their Diference Operators
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摘要 We study a uniqueness question of entire functions order with their difference operators, and deal with a question in this paper extend the corresponding results obtained by Liu Examples are provided to show that the results in this paper, in sharing an entire function of smaller posed by Liu and Yang. The results -Yang and by Liu-Laine respectively. a sense, are the best possible. We study a uniqueness question of entire functions order with their difference operators, and deal with a question in this paper extend the corresponding results obtained by Liu Examples are provided to show that the results in this paper, in sharing an entire function of smaller posed by Liu and Yang. The results -Yang and by Liu-Laine respectively. a sense, are the best possible.
作者 Xiao Min LI Hong Xun YI
机构地区 Department of Mathematics Department of Physics and Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第3期481-498,共18页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant No.11171184) the Natural Science Foundation of Shandong Province,China(Grant No.Z2008A01)
关键词 Entire functions shared values difference operators uniqueness theorems Entire functions, shared values, difference operators, uniqueness theorems
分类号 O174.52 [理学—基础数学]
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参考文献28

  • 1Al-Khaladi, A.: On meromorphic functions that share one value with their derivative. Analysis, 25, 131-140 (2005).
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  • 4Bergweiler, W., Langley, J. K.: Zeros of differences of meromorphic functions. Math. Proc. Cambridge Philos. Soc., 142, 133-147 (2007).
  • 5Bruck, R.: On entire functions which share one value CM with their first derivative. Results in Math., 30, 21-24 (1996).
  • 6Chiang, Y. M., Feng, S. J.: On the Nevanlinna characteristic of f(z + U) and difference equations in the complex plane. Ramanujan J., 16, 105-129 (2008).
  • 7Chiang, Y. M., Feng, S. J.: On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions. Trans. Amer. Math. Soc., 361, 3767-3791 (2009).
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  • 9Halburd, R. G., Korhonen, R. J.: Nevanlinna theory for the difference operator. Ann. Acad. Sci. Fenn. Math., 31, 463-478 (2006).
  • 10Halburd, R. G., Korhonen, R. J.: Difference analogue of the lemma on the logarithmic derivative with applications to difference equations. Y. Math. Anal. Appl., 314, 477-487 (2006).
Acta Mathematica Sinica,English Series
2014年 第3期

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