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

Rosy, Thomas; Thomas, Asha

doi:10.2478/gm-2021-0012

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.

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

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