Joshua, H., Adeniji, A., Mogbonju, M., Hameed, M. (2023). SECOND ORDER HANKEL DETERMINANTS FOR CLASS OF BOUNDED TURNING FUNCTIONS DEFINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR. test, 11(2), 1-16. doi: 10.21608/ejmaa.2023.303645
Hussaini Joshua; Adenike Olusola Adeniji; Morufu M. Mogbonju; Mustafa Ibrahim Hameed. "SECOND ORDER HANKEL DETERMINANTS FOR CLASS OF BOUNDED TURNING FUNCTIONS DEFINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR". test, 11, 2, 2023, 1-16. doi: 10.21608/ejmaa.2023.303645
Joshua, H., Adeniji, A., Mogbonju, M., Hameed, M. (2023). 'SECOND ORDER HANKEL DETERMINANTS FOR CLASS OF BOUNDED TURNING FUNCTIONS DEFINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR', test, 11(2), pp. 1-16. doi: 10.21608/ejmaa.2023.303645
Joshua, H., Adeniji, A., Mogbonju, M., Hameed, M. SECOND ORDER HANKEL DETERMINANTS FOR CLASS OF BOUNDED TURNING FUNCTIONS DEFINED BY SĂLĂGEAN DIFFERENTIAL OPERATOR. test, 2023; 11(2): 1-16. doi: 10.21608/ejmaa.2023.303645

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

Electronic Journal of Mathematical Analysis and Applications
Volume 11, Issue 2, July 2023, Pages 1-16    PDF (484.25 K)
Document Type: Regular research papers
DOI: 10.21608/ejmaa.2023.303645
Authors
Hussaini Joshua* 1; Adenike Olusola Adeniji2; Morufu M. Mogbonju2; Mustafa Ibrahim Hameed3
1Department of Mathematical Sciences, Faculty of Science, University of Maiduguri, Nigeria.
2Department of Mathematics, Faculty of Science, University of Abuja, Nigeria.
3Department 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
Keywords
Bounded turning functions; Sălăgean differential operator; Hankel determinant; Fekete – Szegö functional
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