TY - CHAP
T1 - Univalence criteria depending on parameters and applications
AU - Aharonov, D.
AU - Elias, U.
N1 - Publisher Copyright:
© 2016 D. Aharonov and U. Elias.
PY - 2016
Y1 - 2016
N2 - In this article, we discuss criteria for univalence of analytic functions in the unit disc. A unified method for creating new sets of conditions ensuring univalence is presented. Applying this method, we are able to find several families of new sharp criteria for univalence. We end the paper with an application for the error function. Also, our approach leads naturally to a problem that we suggest for further investigation.
AB - In this article, we discuss criteria for univalence of analytic functions in the unit disc. A unified method for creating new sets of conditions ensuring univalence is presented. Applying this method, we are able to find several families of new sharp criteria for univalence. We end the paper with an application for the error function. Also, our approach leads naturally to a problem that we suggest for further investigation.
UR - http://www.scopus.com/inward/record.url?scp=85044657467&partnerID=8YFLogxK
U2 - 10.1090/conm/667/13528
DO - 10.1090/conm/667/13528
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AN - SCOPUS:85044657467
T3 - Contemporary Mathematics
SP - 15
EP - 26
BT - Contemporary Mathematics
ER -