scholarly journals An improvement of Zalcman's lemma in C^n

2020 ◽  
pp. 109-118
Author(s):  
P. V. Dovbush
Keyword(s):  
Zalcman’S Lemma

Zalcman's lemma in Cn

2019 ◽  
Vol 65 (5) ◽  
pp. 796-800 ◽  
Author(s):  
P. V. Dovbush
Keyword(s):  
Zalcman’S Lemma

APPLICATONS OF ZALCMAN'S LEMMA TO Qm-NORMAL FAMILIES

Analysis ◽  
2001 ◽  
Vol 21 (3) ◽  
pp. 289-326 ◽  
Author(s):  
Shahar Nevo
Keyword(s):  
Normal Families ◽  
Zalcman’S Lemma

REMARKS ON VALUE SHARING OF CERTAIN DIFFERENTIAL POLYNOMIALS OF MEROMORPHIC FUNCTIONS

2014 ◽  
Vol 90 (3) ◽  
pp. 427-443 ◽  
Author(s):  
XIAO-MIN LI ◽  
HONG-XUN YI
Keyword(s):  
Meromorphic Functions ◽  
Entire Functions ◽  
Differential Polynomials ◽  
Value Sharing ◽  
Uniqueness Question ◽  
Zalcman’S Lemma

AbstractWe use Zalcman’s lemma to study a uniqueness question for meromorphic functions where certain associated nonlinear differential polynomials share a nonzero value. The results in this paper extend Theorem 1 in Yang and Hua [‘Uniqueness and value-sharing of meromorphic functions’, Ann. Acad. Sci. Fenn. Math. 22 (1997), 395–406] and Theorem 1 in Fang [‘Uniqueness and value sharing of entire functions’, Comput. Math. Appl. 44 (2002), 823–831]. Our reasoning in this paper also corrects a defect in the reasoning in the proof of Theorem 4 in Bhoosnurmath and Dyavanal [‘Uniqueness and value sharing of meromorphic functions’, Comput. Math. Appl. 53 (2007), 1191–1205].

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