Original Article
Kyungpook Mathematical Journal 2014; 54(3): 443-452
Published online September 23, 2014
Copyright © Kyungpook Mathematical Journal.
Fekete-Szeg"o Problem and Upper Bound of Second Hankel Determinant for a New Class of Analytic Functions
Deepak Bansal
Department of Mathematics, Government College of Engineering and Technology, Bikaner, 334004, India
In the present investigation we consider Fekete-Szeg"o problem with complex parameter $mu$ and also find upper bound of the second Hankel determinant $|a_2 a_4 - a_3^2|$ for functions belonging to a new class $S^{ au}_{gamma} (A,B)$ using Toeplitz determinants.
Keywords: Analytic functions, Subordination, Schwarz functions, Toeplitz determinants, Second Hankel determinant