The Growth of the Spherical Derivative of a Meromorphic Function of Finite Lower Order

1983 ◽  
Vol s2-27 (2) ◽  
pp. 289-305 ◽  
Author(s):  
J. M. Anderson ◽  
S. Toppila
Keyword(s):  
Meromorphic Function ◽  
Lower Order ◽  
Spherical Derivative ◽  
Finite Lower Order

A Quantitative Estimate on Fixed-Points of Composite Meromorphic Functions

1995 ◽  
Vol 38 (4) ◽  
pp. 490-495 ◽  
Author(s):  
Jian-Hua Zheng
Keyword(s):  
Entire Function ◽  
Meromorphic Function ◽  
Fixed Points ◽  
Lower Order ◽  
Quantitative Estimate ◽  
Meromorphic Functions ◽  
Transcendental Entire Function ◽  
Logarithmic Density ◽  
Image Position ◽  
Finite Lower Order

AbstractLet ƒ(z) be a transcendental meromorphic function of finite order, g(z) a transcendental entire function of finite lower order and let α(z) be a non-constant meromorphic function with T(r, α) = S(r,g). As an extension of the main result of [7], we prove thatwhere J has a positive lower logarithmic density.

scholarly journals Radial distributions of Julia sets of meromorphic functions

2006 ◽  
Vol 81 (3) ◽  
pp. 363-368 ◽  
Author(s):  
Ling Qiu ◽  
Shengjian Wu
Keyword(s):  
Meromorphic Function ◽  
Lower Order ◽  
Meromorphic Functions ◽  
Julia Set ◽  
Julia Sets ◽  
Deficient Value ◽  
Borel Exceptional Value ◽  
Exceptional Value ◽  
Finite Lower Order

AbstractWe consider a meromorphic function of finite lower order that has ∞ as its deficient value or as its Borel exceptional value. We prove that the set of limiting directions of its Julia set must have a definite range of measure.

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