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Author |
Arbelaez, H.; Bravo, V.; Hernandez, R.; Sierra, W.; Venegas, O. |
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Title |
A new approach for the univalence of certain integral of harmonic mappings |
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Year |
2020 |
Publication |
Indagationes Mathematicae-New Series |
Abbreviated Journal |
Indag. Math.-New Ser. |
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Volume |
31 |
Issue |
4 |
Pages |
525-535 |
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Keywords |
Univalent mappings; Integral transformation; Geometric function theory |
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Abstract |
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. |
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Address |
[Arbelaez, Hugo] Univ Nacl Colombia, Fac Ciencias, Sede Medellin, Medellin, Colombia, Email: hjarbela@unal.edu.co; |
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Publisher |
Elsevier |
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Language |
English |
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ISSN |
0019-3577 |
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Notes |
WOS:000552682000001 |
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Call Number |
UAI @ eduardo.moreno @ |
Serial |
1211 |
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