finite lower order
Recently Published Documents


TOTAL DOCUMENTS

29
(FIVE YEARS 2)

H-INDEX

6
(FIVE YEARS 0)

2021 ◽  
Vol 7 (1) ◽  
pp. 276-287
Author(s):  
Zheng Wang ◽  
◽  
Zhi Gang Huang

<abstract><p>This paper is devoted to studying the transcendental directions of entire solutions of $ f^{(n)}+A_{n-1}f^{(n-1)}+...+A_0f = 0 $, where $ n(\geq 2) $ is an integer and $ A_i(z)(i = 0, 1, ..., n-1) $ are entire functions of finite lower order. With some additional conditions, the set of common transcendental directions of non-trivial solutions, their derivatives and their primitives must have a definite range of measure. Moreover, we obtain the lower bound of the measure of the set defined by the common transcendental directions of Jackson difference operator of non-trivial solutions.</p></abstract>


Author(s):  
J. K. Langley

The main results of the paper determine all real meromorphic functions f of finite lower order in the plane such that f has finitely many zeros and non-real poles and such that certain combinations of derivatives of f have few non-real zeros.


2007 ◽  
Vol 75 (3) ◽  
pp. 459-468 ◽  
Author(s):  
Songmin Wang ◽  
Zongsheng Gao

In this paper, we prove that for an algebroid function w (z) with finite lower order, satisfying , there exists a T direction dealing with multiple values.


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.


2003 ◽  
Vol 43 (1-2) ◽  
pp. 121-128 ◽  
Author(s):  
J. D. Hinchliffe

Sign in / Sign up

Export Citation Format

Share Document