Results 111 to 120 of about 10,470,703 (228)

A Normality Criterion for Sharing a Holomorphic Function

open access: yesAxioms
In this paper, we scrutinize a collection of meromorphic functions known as normal families, prove the theorem that normal families share a holomorphic function, and present several illustrative counterexamples.
Sheng Wang, Xiaojun Huang
doaj   +1 more source

Some remarks for a certain class of holomorphic functions at the boundary of the unit disc

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
We consider a boundary version of the Schwarz Lemma on a certain class which isdenoted by K(alfa) . For the function f(z)=z+c2z2+.......which is defined in the unit disc Esuch that the function f (z) belongs to the class K(alfa) , we estimate from below ...
Tuğba Akyel, Bülent Nafi Örnek
doaj   +1 more source

Domains of Existence for Finely Holomorphic Functions [PDF]

open access: hybrid, 2018
Bent Fuglede, Alan Groot, Jan Wiegerinck
openalex   +1 more source

ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR

open access: yesAdvanced Engineering Research, 2006
In the article is given representation of the resolvent  for generalized differential operator  with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
doaj  

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