Title of article :
Norm estimates for convolution transforms of certain classes
of analytic functions
Author/Authors :
S. Ponnusamy†، نويسنده , , S.K. Sahoo، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
Pages :
10
From page :
171
To page :
180
Abstract :
For normalized analytic functions f in the unit disk Δ, we consider the class
Fβ =
f: Re
1+ zf
(z)
f
(z)
<
3
2
β, z ∈ Δ
,
where 23
<β 1, and
S∗
(A,B) =
f :
zf
(z)
f (z)
≺ 1+ Az
1+ Bz
, z ∈ Δ
where −1 B
Keywords :
Pre-Schwarzian derivative , integral transform , Univalent , Starlike , Convex and hypergeometric function , Bloch norm
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2008
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
936981
Link To Document :
