The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions

Nak Eun Cho, Ebrahim Analouei Adegani, Serap Bulut and Ahmad Motamednezhad
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Nak Eun Cho: Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Korea
Ebrahim Analouei Adegani: Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155 Shahrood, Iran
Serap Bulut: Faculty of Aviation and Space Sciences, Kocaeli University, Arslanbey Campus, 41285 Kartepe-Kocaeli, Turkey
Ahmad Motamednezhad: Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155 Shahrood, Iran

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

Abstract: The purpose of the present work is to determine a bound for the functional H 2 ( 2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions. The main result presented here provides much improved estimation compared with the previous result by means of different proof methods than those used by others.

Keywords: univalent function; second Hankel determinant; subordination; close-to-convex functions; bi-close-to-convex functions (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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