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

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

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.

Bibliographic Details
Main Authors: Arif Muhammad, Raza Mohsan, Tang Huo, Hussain Shehzad, Khan Hassan
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Open Mathematics
Subjects:
subordinations
trigonometric function
hankel determinant
30c45
30c50
Online Access:https://doi.org/10.1515/math-2019-0132
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spelling doaj-4400780b363342a680ffaeaa51e9d6bc2021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-12-011711615163010.1515/math-2019-0132math-2019-0132Hankel determinant of order three for familiar subsets of analytic functions related with sine functionArif Muhammad0Raza Mohsan1Tang Huo2Hussain Shehzad3Khan Hassan4Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanSchool of Mathematics and Statistics, Chifeng University, Chifeng, 024000, Inner Mongolia, People’s Republic of ChinaDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, PakistanIn 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.https://doi.org/10.1515/math-2019-0132subordinationstrigonometric functionhankel determinant30c4530c50
collection DOAJ
language English
format Article
sources DOAJ
author Arif Muhammad
Raza Mohsan
Tang Huo
Hussain Shehzad
Khan Hassan
spellingShingle Arif Muhammad
Raza Mohsan
Tang Huo
Hussain Shehzad
Khan Hassan
Hankel determinant of order three for familiar subsets of analytic functions related with sine function
Open Mathematics
subordinations
trigonometric function
hankel determinant
30c45
30c50
author_facet Arif Muhammad
Raza Mohsan
Tang Huo
Hussain Shehzad
Khan Hassan
author_sort Arif Muhammad
title Hankel determinant of order three for familiar subsets of analytic functions related with sine function
title_short Hankel determinant of order three for familiar subsets of analytic functions related with sine function
title_full Hankel determinant of order three for familiar subsets of analytic functions related with sine function
title_fullStr Hankel determinant of order three for familiar subsets of analytic functions related with sine function
title_full_unstemmed Hankel determinant of order three for familiar subsets of analytic functions related with sine function
title_sort hankel determinant of order three for familiar subsets of analytic functions related with sine function
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2019-12-01
description 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.
topic subordinations
trigonometric function
hankel determinant
30c45
30c50
url https://doi.org/10.1515/math-2019-0132
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AT razamohsan hankeldeterminantoforderthreeforfamiliarsubsetsofanalyticfunctionsrelatedwithsinefunction
AT tanghuo hankeldeterminantoforderthreeforfamiliarsubsetsofanalyticfunctionsrelatedwithsinefunction
AT hussainshehzad hankeldeterminantoforderthreeforfamiliarsubsetsofanalyticfunctionsrelatedwithsinefunction
AT khanhassan hankeldeterminantoforderthreeforfamiliarsubsetsofanalyticfunctionsrelatedwithsinefunction
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