Bounds of Hankel Determinant for a Class of Univalent Functions

The authors study the coefficient condition for the class ℌ𝛼 defined as the family of analytic functions 𝑓,𝑓(0)=0 and 𝑓′(0)=1, which satisfy ℜ[(1−𝛼)𝑓′(𝑧)+𝛼(1+(𝑧𝑓′′(𝑧))/(𝑓′(𝑧)))]>𝛼,𝑧∈𝐸, where 𝛼 is a real number.

Bibliographic Details
Main Authors: Sarika Verma, Sushma Gupta, Sukhjit Singh
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/147842