شماره ركورد كنفرانس :
4079
عنوان مقاله :
$Norm estimates for the class of $k$-uniformly convex and $k$-starlike functions of order $\alpha
پديدآورندگان :
Orouji Z. z.orouji@urmia.ac.ir Urmia University , Aghalary R. raghalary@yahoo.com Urmia University
كليدواژه :
Pre , Schwarzian derivative , k , Uniformly convex function , k , Starlike function
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
For a constant $0 k 1$ and $\alpha 1$, we define the
class of $k$-Uniformly convex and $k$-Starlike functions of order $\alpha$; $K(k,\alpha)$ and $S^*(k,\alpha)$
respectively; and give the best estimate for the norm of the pre-Schwarzian derivative in $K(k,\alpha)$ and $S^*(k,\alpha)$.