borel exceptional value
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2016 ◽  
Vol 47 (2) ◽  
pp. 237-247 ◽  
Author(s):  
Jianren Long

The classical problem of finding conditions on the entire coefficients $A(z)$ and $B(z)$ guaranteeing that all nontrivial solutions of $f''+A(z)f'+B(z)f=0$ are of infinite order is discussed. Some such conditions which involve deficient value, Borel exceptional value and extremal functions for Denjoy's conjecture are obtained.



2006 ◽  
Vol 81 (3) ◽  
pp. 363-368 ◽  
Author(s):  
Ling Qiu ◽  
Shengjian Wu

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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