We consider the problem of univalence of the integral operator [...] Imposing on functions f(z), g(z) various conditions and making use of a close-to-convexity property of the operator, we establish many suffcient conditions for univalence. Our results extend earlier ones. Some questions remain open.
@article{bwmeta1.element.doi-10_2478_v10062-009-0011-0,
author = {Szymon Ignaciuk},
title = {On univalence of an integral operator},
journal = {Annales UMCS, Mathematica},
volume = {63},
year = {2009},
pages = {117-132},
zbl = {1190.30015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-009-0011-0}
}
Szymon Ignaciuk. On univalence of an integral operator. Annales UMCS, Mathematica, Tome 63 (2009) pp. 117-132. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-009-0011-0/
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