Study of Second Hankel Determinant for Certain Subclasses of Functions Defined by Al-Oboudi Differential Operator

Authors

K. A. Challab, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan MalaysiaFollow
M. Darus, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia
F. Ghanim, Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates

Abstract

The concern of this article is the calculation of an upper bound of second Hankel determinant for the subclasses of functions defined by Al-Oboudi differential operator in the unit disc. To study special cases of the results of this article, we give particular values to the parameters A, B and λ

Keywords

Al-Oboudi differential operator, Convex functions, Second Hankel determinant, Starlike functions, Subordination property.

Article Type

Supplemental Issue

How to Cite this Article

Challab, K. A.; Darus, M.; and Ghanim, F. (2020) "Study of Second Hankel Determinant for Certain Subclasses of Functions Defined by Al-Oboudi Differential Operator," Baghdad Science Journal: Vol. 17: Iss. 1, Article 49.
DOI: https://doi.org/10.21123/bsj.2020.17.1(Suppl.).0353