Subclasses of α-spirallike functions associated with Ruscheweyh derivatives

Abstract

Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ)(n∈{0,1,2,3,…},−π/2<α<π/2,and0≤λ≤cos2α) of functions f(z)=z+∑k=2∞akzk which are analytic in |z|<1. Subordination and inclusion relations are obtained. The radius of α-spirallikeness of order ρ is calculated. A convolution property and a special member of T(n,α,λ) are also given.