Open AccessSome Univalence Conditions of a Certain General Integral Operator
Author(s) -
Camelia Bărbatu,
Daniel Breaz
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i5.3679
Subject(s) - mathematics , unit disk , lemma (botany) , operator (biology) , mathematical proof , analytic function , key (lock) , unit (ring theory) , pure mathematics , algebra over a field , discrete mathematics , geometry , mathematics education , computer science , ecology , biochemistry , chemistry , poaceae , computer security , repressor , gene , transcription factor , biology
For some classes of analytic functions f, g, h and k in the open unit disk U, we consider the general integral operator Tn, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and erb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.