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Computational Methods and Function Theory 9 (2009), No. 2, 379--389
Copyright Heldermann Verlag 2009

Entire Functions Sharing a Small Function with their Derivatives

Jilong Zhang
jilongzhang2007@gmail.com , Shandong University, School of Mathematics & System Sciences, Jinan, Shandong, 250100, P. R. China.

[Abstract-pdf] [Abstract-ps]

We investigate uniqueness problems for an entire function that shares a small function of finite order with one of its linear differential polynomials. In particular, we complete a result in [14], and give a generalization of a result in [11].
  • [11] P. Li and W. J. Wang, Entire functions that share a small function with its derivative, J. Math. Anal. Appl. 328 (2007), 743--751.
  • [14] J. Wang and I. Laine, Uniqueness of entire functions and their derivatives, Computat. Methods Funct. Theory 8 (2008), 327--338.


Keywords: Uniqueness of entire functions, shared values, small functions.

MSC 2000: 30D35.

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