A new approach for the univalence of certain integral of harmonic mappings
Arbelaez
H
author
Bravo
V
author
Hernandez
R
author
Sierra
W
author
Venegas
O
author
2020
English
The principal goal of this paper is to extend the classical problem of finding the values of alpha is an element of C for which either (f) over cap (alpha) (z) = integral(z)(0) (f (zeta)/zeta)(alpha) d zeta or f(alpha) (z) = integral(z)(0)(f' (zeta))(alpha)d zeta are univalent, whenever f belongs to some subclasses of univalent mappings in D, to the case of harmonic mappings, by considering the shear construction introduced by Clunie and Sheil-Small in [4]. (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
Univalent mappings
Integral transformation
Geometric function theory
WOS:000552682000001
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text
10.1016/j.indag.2020.04.002
Arbelaez_etal2020
Indagationes Mathematicae-New Series
Indag. Math.-New Ser.
2020
Elsevier
continuing
periodical
academic journal
31
4
525
535
0019-3577