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Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli

Authors :
Hari M. Srivastava
Qazi Zahoor Ahmad
Maslina Darus
Nazar Khan
Bilal Khan
Naveed Zaman
Hasrat Hussain Shah
Source :
Mathematics, Vol 7, Iss 9, p 848 (2019)
Publication Year :
2019
Publisher :
MDPI AG, 2019.

Abstract

In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli. For this function class, we obtain the upper bound of the third Hankel determinant. Various other related results are also considered.

Details

Language :
English
ISSN :
22277390
Volume :
7
Issue :
9
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.575ce335e87342f5a65f35f21230b482
Document Type :
article
Full Text :
https://doi.org/10.3390/math7090848