Univalence conditions of an integral operator on the exterior unit disk
DOI:
https://doi.org/10.24193/subbmath.2024.4.03Keywords:
Univalent functions, analytic functions, integral operators, exterior unit diskAbstract
In this article, we consider the subclasses Vj, Vj,µ and j(p), with j = 2, 3, ..., and generalize univalence conditions for the integral operator Gαi,β of the analytic functions g in the exterior unit disk. We want to see if some univalent conditions for analytic functions obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation g(z)=1f(1/z).g(z)=1f(1/z).
Mathematics Subject Classification (2010): 30C45.
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