Bounds of Hankel Determinant for a Class of Univalent Functions

oleh: Sarika Verma, Sushma Gupta, Sukhjit Singh

Format: Article
Diterbitkan: Wiley 2012-01-01

Deskripsi

The authors study the coefficient condition for the class โ„Œ๐›ผ defined as the family of analytic functions ๐‘“,๐‘“(0)=0 and ๐‘“โ€ฒ(0)=1, which satisfy โ„œ[(1โˆ’๐›ผ)๐‘“โ€ฒ(๐‘ง)+๐›ผ(1+(๐‘ง๐‘“โ€ฒโ€ฒ(๐‘ง))/(๐‘“โ€ฒ(๐‘ง)))]>๐›ผ,๐‘งโˆˆ๐ธ, where ๐›ผ is a real number.