We introduce a class $L_{sigma}*({alpha},{eta},{gamma})$ of functions defined by $f*S_{sigma}(z)$ of f(z) and $S_{sigma}(z)=z/(1-z)^{2(1-{sigma})}$. The present paper is to determine extreme point, coefficient inequalities., distortion Theorem and radius of starlikeness and convexity for functions in $L_{sigma}*({alpha},{eta},{gamma})$. And we give fractional calculus.