Univalence of certain integral operators
Author(s) -
Virgil Pescar,
Shigeyoshi Owa
Publication year - 2004
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.35.2004.211
Subject(s) - mathematics , unit disk , operator (biology) , class (philosophy) , unit (ring theory) , object (grammar) , integral transform , pure mathematics , mathematical analysis , combinatorics , computer science , biochemistry , chemistry , mathematics education , repressor , artificial intelligence , transcription factor , gene
Let $ { cal A}_n$ be the class of functions $ f(z) $ which are analytic and $ n $-fold symmetric in the open unit disk $ {Bbb U} $. The integral operator $ G_alpha(z) $ for $ f(z)in {cal A}_n $ is considered. The object of the present paper is to derive univalence conditions of the integral operator $G_alpha(z)$ for $ f(z)in {cal A}_n$
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