International Journal of Mathematics and Mathematical Sciences (Jan 2012)
Bounds of Hankel Determinant for a Class of Univalent Functions
Abstract
The authors study the coefficient condition for the class โ๐ผ defined as the family of analytic functions ๐,๐(0)=0 and ๐โฒ(0)=1, which satisfy โ[(1โ๐ผ)๐โฒ(๐ง)+๐ผ(1+(๐ง๐โฒโฒ(๐ง))/(๐โฒ(๐ง)))]>๐ผ,๐งโ๐ธ, where ๐ผ is a real number.