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http://dx.doi.org/10.5666/KMJ.2014.54.3.443

Fekete-Szegö Problem and Upper Bound of Second Hankel Determinant for a New Class of Analytic Functions  

Bansal, Deepak (Department of Mathematics, Government College of Engineering and Technology)
Publication Information
Kyungpook Mathematical Journal / v.54, no.3, 2014 , pp. 443-452 More about this Journal
Abstract
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.
Keywords
Analytic functions; Subordination; Schwarz functions; Toeplitzdeterminants; Second Hankel determinant;
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