Title of article :
Meromorphic Functions That Share Fixed-Points
Author/Authors :
Mingliang Fang1، نويسنده , , Huiling Qiu، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
In this paper, we prove the following result: Let fŽz. and gŽz. be two nonconstant
meromorphicŽentire.functions, n 11Žn 6.a positive integer. If fnŽz.f Žz.
nŽ . Ž . Ž . c z2 and g z g z have the same fixed-points, then either f z c1e , gŽz.
c z2 c2e , where c1, c2 , and c are three constants satisfying 4Žc1c2.n 1c2 1, or
fŽz. tgŽz. for a constant t such that t n 1 1.
Keywords :
Meromorphic function , Differential polynomial , fixedpoint. , Uniqueness
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications