Hankel determinant of order three for familiar subsets of analytic functions related with sine function-Reference-Cited by-同舟云学术

Hankel determinant of order three for familiar subsets of analytic functions related with sine function

Published:2019-12-31 Issue:1 Volume:17 Page:1615-1630
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Arif Muhammad¹,Raza Mohsan²,Tang Huo³,Hussain Shehzad¹,Khan Hassan¹

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, Pakistan

2. Department of Mathematics, Government College University, Faisalabad, Pakistan

3. School of Mathematics and Statistics, Chifeng University, Chifeng, 024000, Inner Mongolia, People’s Republic of China

Abstract

Abstract In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0132/pdf

Reference80 articles.

1. Radius of convexity of some subclasses of strongly starlike functions;Zeszyty Nauk. Politech. Rzeszowskiej Mat.,1996

2. Third Hankel determinant for bounded turning functions of order alpha;J. Niger. Math. Soc.,2015

3. Coefficient bounds for the inverse of a function with derivative in 𝒫;Proc. Amer. Math. Soc.,1983

4. Upper bound of second Hankel determinant for certain subclasses of analytic functions;Abstr. Appl Anal.,2014

5. On the second Hankel determinant of a really mean p-valent functions;Trans. Amer. Math. Soc.,1976

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