Generalized operator for Alexander integral operator

Let T_n be the class of functions f which are defined by a power series f(z)=z+an+1zn+1+an2zn+2+…f\left( z \right) = z + {a_{n + 1}}{z^{n + 1}} + {a_n}2{z^{n + 2}} + \ldots for every z in the closed unit disc 𝕌¯\bar {\mathbb{U}}. With m different boundary points z_s, (s = 1,2,...,m), we consider α_m ∈ e^iβ𝒜_−j−λf(𝕌), here 𝒜_−j−λ is the generalized Alexander integral operator and 𝕌 is the open unit disc. Applying 𝒜_−j−λ, a subclass B_n(α_m,β,ρ; j, λ) of T_n is defined with fractional integral for functions f. The object of present paper is to consider some interesting properties of f to be in B_n(α_m,β,ρ; j, λ).