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In this paper, we investigate the uniqueness of meromorphic functions of finite order concerning sharing small functions and prove that if $f(z)$ and $\Delta_c f(z)$ share $a(z), b(z), \infty$ CM, where $a(z), b(z) (\not \equiv \infty)$ are two distinct small functions of $f(z)$, then $f(z)\equiv \Delta_cf(z)$. The result improves the results due to Li et al.~(\cite{LXM}), Cui et al.~(\cite{CN}) and L\"{u} et al.~(\cite{LF}).
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참고문헌 (17)
참고문헌 신청
Ning Cui / 2016 / The conjecture on unity of meromorphic functions concerning their differences / Journal of Difference Equations and Applications 22(10):1452~1471
B. Q. Chen / 2012 / Uniqueness theorems on entire functions and their dierence operators or shifts / Abstr. Appl. Anal 2012:8
Zong-Xuan Chen / 2013 / On Sharing Values of Meromorphic Functions and Their Differences / Results in Mathematics 63(1-2):557~565
Yik-Man Chiang / 2008 / On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane / The Ramanujan Journal 16(1):105~129
R.G. Halburd / 2006 / Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations / Journal of Mathematical Analysis and Applications 314(2):477~487
B. Q. Chen / 2012 / Uniqueness theorems on entire functions and their dierence operators or shifts / Abstr. Appl. Anal 2012:8
Zong-Xuan Chen / 2013 / On Sharing Values of Meromorphic Functions and Their Differences / Results in Mathematics 63(1-2):557~565
Yik-Man Chiang / 2008 / On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane / The Ramanujan Journal 16(1):105~129
R.G. Halburd / 2006 / Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations / Journal of Mathematical Analysis and Applications 314(2):477~487
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