SECOND ORDER HANKEL DETERMINANTS FOR CLASS OF BOUNDED TURNING FUNCTIONS DEFINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR

Document Type : Regular research papers

Authors

1 Department of Mathematical Sciences, Faculty of Science, University of Maiduguri, Nigeria.

2 Department of Mathematics, Faculty of Science, University of Abuja, Nigeria.

3 Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq.

Abstract

In this paper, a brief study of certain properties of bounded turning functions is carried out. Furthermore, bound to the famous Fekete – Szegö functional H_2 (1)=|a_3-ta_2^2 |, with t real and the Second Hankel Determinant H_2 (2)=|a_2 a_4-a_3^2 | for functions of bounded turning of order β associated with Sălăgean differential operator are obtained using succinct mathematical approach.

In this paper, a brief study of certain properties of bounded turning functions is carried out. Furthermore, bound to the famous Fekete – Szegö functional H_2 (1)=|a_3-ta_2^2 |, with t real and the Second Hankel Determinant H_2 (2)=|a_2 a_4-a_3^2 | for functions of bounded turning of order β associated with Sălăgean differential operator are obtained using succinct mathematical approach.

In this paper, a brief study of certain properties of bounded turning functions is carried out. Furthermore, bound to the famous Fekete – Szegö functional H_2 (1)=|a_3-ta_2^2 |, with t real and the Second Hankel Determinant H_2 (2)=|a_2 a_4-a_3^2 | for functions of bounded turning of order β associated with Sălăgean differential operator are obtained using succinct mathematical approach

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History

  • Receive Date: 08 May 2023
  • Accept Date: 14 June 2023

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