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.

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Published inOpen mathematics (Warsaw, Poland) Vol. 17; no. 1; pp. 1615 - 1630
Main Authors Arif, Muhammad, Raza, Mohsan, Tang, Huo, Hussain, Shehzad, Khan, Hassan
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 31.12.2019
De Gruyter Poland
Subjects
30C45
30C50
Analytic functions
Hankel determinant
subordinations
trigonometric function
Trigonometric functions
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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.
AbstractList 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.
Author Khan, Hassan
Tang, Huo
Hussain, Shehzad
Arif, Muhammad
Raza, Mohsan
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  givenname: Mohsan
  surname: Raza
  fullname: Raza, Mohsan
  email: mohsan976@yahoo.com
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  givenname: Huo
  surname: Tang
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  organization: School of Mathematics and Statistics, Chifeng University, Chifeng, 024000, Inner Mongolia, People’s Republic of China
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  givenname: Shehzad
  surname: Hussain
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  email: shehzad873822@gmail.com
  organization: Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, Pakistan
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  givenname: Hassan
  surname: Khan
  fullname: Khan, Hassan
  email: hassanmath@awkum.edu.pk
  organization: Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, Pakistan
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Snippet 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...
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walterdegruyter
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SubjectTerms 30C45
30C50
Analytic functions
Hankel determinant
subordinations
trigonometric function
Trigonometric functions
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Title Hankel determinant of order three for familiar subsets of analytic functions related with sine function
URI https://www.degruyter.com/doi/10.1515/math-2019-0132
https://www.proquest.com/docview/2545240011
https://doaj.org/article/4400780b363342a680ffaeaa51e9d6bc
Volume 17
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