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

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

5 Scopus citations

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
State	Published - 2019
Externally published	Yes

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.",

keywords = "Bounded turning function, Close-to-convex function, Convex function, Hankel determinant, Harmonic mapping, Starlike function, Univalent function",

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AU - Sun, Yong

AU - Wang, Zhi Gang

AU - Rasila, Antti

PY - 2019

Y1 - 2019

N2 - 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.

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.

KW - Bounded turning function

KW - Close-to-convex function

KW - Convex function

KW - Hankel determinant

KW - Harmonic mapping

KW - Starlike function

KW - Univalent function

UR - http://www.scopus.com/inward/record.url?scp=85077208387&partnerID=8YFLogxK

U2 - 10.15672/HJMS.2018.632

DO - 10.15672/HJMS.2018.632

M3 - 文章

AN - SCOPUS:85077208387

SN - 1303-5010

VL - 48

SP - 1695

EP - 1705

JO - Hacettepe Journal of Mathematics and Statistics

JF - Hacettepe Journal of Mathematics and Statistics

IS - 6

ER -

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

Abstract

Keywords

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