Open AccessUnivalence criteria for a general integral operator
Author(s) -
Camelia Bărbatu,
Daniel Breaz
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2007225b
Subject(s) - mathematics , unit disk , operator (biology) , mathematical proof , key (lock) , analytic function , calculus (dental) , algebra over a field , unit (ring theory) , pure mathematics , computer science , geometry , mathematics education , medicine , biochemistry , chemistry , computer security , dentistry , repressor , transcription factor , gene
For some classes of analytic functions f and 1 in the open unit disk U, we consider the general integral operatorMn, that was introduced in a recent work [2] 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. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.