Third Hankel determinant for a subclass of analytic univalent functions

T.V. Sudharsana,*, S.P. Vijayalakshmib and B. Adolf Stephenc

Third Hankel determinant for a subclass of analytic univalent functions

Authors :

T.V. Sudharsan^a,*, S.P. Vijayalakshmi^b and B. Adolf Stephen^c

Author Address :

^aDepartment of Mathematics, SIVET College, Chennai - 600 073, Tamil Nadu, India.
^bDepartment of Mathematics, Ethiraj College, Chennai - 600 008, Tamil Nadu, India.
^cDepartment of Mathematics, Madras Christian College, Chennai - 600 059, Tamil Nadu, India.

*Corresponding author.

Abstract :

This paper focuses on attaining the upper bounds on $H_3(1)$ for a class $C_alpha^eta$ ($0 leq eta < 1$, $alpha geq 0$) in the unit disk $Delta = {z in mC : |z| < 1}$.

Keywords :

Bounded turning, coefficient bounds, convex functions, Hankel determinant, starlike functions.

DOI :

Article Info :

Received : March 05, 2014; Accepted : June 05, 2014.