On third hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Yong Sun; Zhi Gang Wang; Antti Rasila

doi:10.15672/HJMS.2018.632

On third hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Yong Sun^*, Zhi Gang Wang, Antti Rasila

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

7 Citations (Scopus)

Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order α and bounded turning functions of order α. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.

Original language	English
Pages (from-to)	1695-1705
Number of pages	11
Journal	Hacettepe Journal of Mathematics and Statistics
Volume	48
Issue number	6
DOIs	https://doi.org/10.15672/HJMS.2018.632
Publication status	Published - 1 Jan 2019
MoE publication type	A1 Journal article-refereed

Keywords

Bounded turning function
Close-to-convex function
Convex function
Hankel determinant
Harmonic mapping
Starlike function
Univalent function

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10.15672/HJMS.2018.632

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abstract = "In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order α and bounded turning functions of order α. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.",

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AB - In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order α and bounded turning functions of order α. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.

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KW - Convex function

KW - Hankel determinant

KW - Harmonic mapping

KW - Starlike function

KW - Univalent function

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ER -

On third hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Abstract

Keywords

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