GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS

Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions. Moreover, upper bounds are obtained for |[a.sub.3] - [micro][a.sup.2.sub.2]|, where [micro] [member of] R.Keywords: Analytic and univalent functions, Fekete-Szego inequality, Hankel...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2018-01, Vol.8 (1A), p.311
Main Authors: Yalcin, S, Altinkaya, S, Owa, S
Format: Article
Language:English
Subjects:
Determinants (Mathematics)
Equality
Functions (Mathematics)
Mathematical research
Upper bounds
Online Access:Get full text
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Summary:Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions. Moreover, upper bounds are obtained for |[a.sub.3] - [micro][a.sup.2.sub.2]|, where [micro] [member of] R.Keywords: Analytic and univalent functions, Fekete-Szego inequality, Hankel determinant.AMS Subject Classification: 30C45, 30C50.
ISSN:2146-1147
2146-1147