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On Meromorphic Functions That Share One Small Function of Differential Polynomials with Their Derivatives

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DOI: 10.4236/am.2015.612178    1,967 Downloads   2,367 Views  

ABSTRACT

In this paper, we study the problem of meromorphic functions that share one small function of differential polynomial with their derivatives and prove one theorem. The theorem improves the results of Jin-Dong Li and Guang-Xin Huang [1].

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Waghamore, H. and Rajeshwari, S. (2015) On Meromorphic Functions That Share One Small Function of Differential Polynomials with Their Derivatives. Applied Mathematics, 6, 2004-2013. doi: 10.4236/am.2015.612178.

References

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[7] Yu, K.W. (2003) On Entire and Meromorphic Functions That Share Small Functions with Their Derivatives. Journal of Inequalities in Pure and Applied Mathematics, 4.
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[8] Liu, L.P. and Gu, Y.X. (2004) Uniqueness of Meromorphic Functions That Share One Small Function with Their Derivatives. Kodai Mathematical Journal, 27, 272-279.
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[9] Lahiri, I. and Sarkar, A. (2004) Uniqueness of Meromorphic Function and Its Derivative. Journal of Inequalities in Pure and Applied Mathematics, 5.
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[10] Zhang, Q.C. (2005) Meromorphic Function That Shares One Small Function with Their Derivatives. Journal of Inequalities in Pure and Applied Mathematics, 6.
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[11] Mohon’ko, A.Z. (1971) On the Nevanlinna Characteristics of Some Meromorphic Functions. Theory of Functions, Functional Analysis and Its Applications, 14, 83-87.

  
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