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

Abstract

Abstract In this paper, we consider new subclasses 𝔗𝔖n(µ, a, b, ℓ, τ, γ) and 𝕽n(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 𝔖n(µ, a, b, ℓ, τ, γ) and 𝕽n(µ, a, b, ℓ, τ, γ) are derived.