Third Hankel Determinant for Certain Subclass of Analytic Functions
Authors :
M. A. Ganiyu a,∗ , K.O. Babalola b
Author Address :
a Department of Physical Sciences, College of Natural Sciences, Al-Hikmah University, Ilorin, Nigeria.
b Department of Mathematics, College of science, University of Ilorin, Ilorin, Nigeria.
*Corresponding author.
Abstract :
The third Hankel determinant, $H_3(1)$ for subclass of analytic functions satisfying geometric condition $$Re\;{\frac{zf’(z)}{f(z)}}{\frac{f(z)^{\alpha-1}f’(z)}{z^{\alpha-1}}}>0 $$ for nonnegative real number $\alpha$, in the open unit disk $U=\{z\in\mathbb{C}:|z|<1\}$ is derived in line with a method of classical analysis devised by Libera and Zlotkiewicz [9].
Keywords :
Hankel determinant, caratheodory functions, product of geometric expression, analytic functions.
DOI :
Article Info :
Received : January 10, 2016; Accepted : July 21, 2016.
