On certain classes of analytic functions of Complex order defined by Erdelyi-Kober integral operator

Abstract

Abstract In this paper, we consider new subclasses 𝔗𝔖 n (µ, a, b, ℓ, τ, γ) and 𝕽 n (µ, a, b, ℓ, τ, γ) of analytic univalent functions defined by Erdelyi-Kober integral operator. We obtain coefficient inequalities, inclusion relationships involving the (n, δ)- neighborhoods, partial sums and integral mean inequalities for the functions that belongs to these classes. Also, subordinating factor sequence for the functions in the classes 𝔖 n (µ, a, b, ℓ, τ, γ) and 𝕽 n (µ, a, b, ℓ, τ, γ) are derived.