Fekete-Szegö problem and upper bound of second Hankel determinant for a new class of analytic functions

D Bansal - Kyungpook Mathematical Journal, 2014 - koreascience.kr
Kyungpook Mathematical Journal, 2014koreascience.kr
In the present investigation we consider Fekete-Szeg $\ddot {o} $ problem with complex
parameter ${\mu} $ and also find upper bound of the second Hankel determinant ${\mid}
a_2a_4-a^ 2_3 {\mid} $ for functions belonging to a new class $ S^{\tau} _ {\gamma}(A, B) $
using Toeplitz determinants.
Abstract
In the present investigation we consider Fekete-Szeg problem with complex parameter and also find upper bound of the second Hankel determinant for functions belonging to a new class using Toeplitz determinants.
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