On a Subclass of Analytic Functions Related to a Hyperbola

The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk. We also obtain a sufficient condition for an analytic function to be in this class.

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Bibliographic Details
Main Authors: Jagannath Patel, Ashok Kumar Sahoo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/570361
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Summary:The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class ℛ̃(a,c,ρ) of analytic functions in the unit disk. We also obtain a sufficient condition for an analytic function to be in this class.
ISSN:0161-1712
1687-0425