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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