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

Hari M. Srivastava, Qazi Zahoor Ahmad, Maslina Darus, Nazar Khan, Bilal Khan, Naveed Zaman and Hasrat Hussain Shah
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Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Qazi Zahoor Ahmad: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Maslina Darus: School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Nazar Khan: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Bilal Khan: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Naveed Zaman: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Hasrat Hussain Shah: Department of Mathematical Sciecnes, Balochistan University of Information Technology, Engineering and Management Sciences, Quetta 87300, Pakistan

Mathematics, 2019, vol. 7, issue 9, 1-10

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.

Keywords: analytic functions; close-to-convex functions; subordination; lemniscate of Bernoulli Hankel determinant (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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