Certain Determinants for New Subclasses of -Univalent Functions
Aqeel K. AL-khafaji 1,*, Heyam K. Alkhayyat2, M. Abdul-Jabbar Albayati3
1 Faculty of Education for Pure Sciences, Mathematics department, Babylon University, Iraq.
2 Faculty of Computer Science and mathematics, Mathematics departmen, University of Kufa, Iraq,
3 Faculty of Administration and Economics, Economics department, University of Misan, Iraq,
Emails: aqeel.ketab@uobabylon.edu.iq; hiyamk.hasan@uokufa.edu.iq; mudher68irri@yahoo.com
Abstract
This paper introduces and investigate a new subclasses of the class of analytic functions that both are -fold symmetric -univalent functions in the open unit disk and get the estimates of the initial coefficients for functions in each of these new subclasses. After this, the work will be discussing the Hankel determinant and a Fekete-Szegö functional.
Keywords: Analytic function; univalent function; -univalent functions; symmetric -univalent functions; Hankel determinant; Fekete-Szegö functional.