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In this paper, we consider new subclasses 𝔗𝔖<italic>n</italic>(<italic>µ</italic>, <italic>a</italic>, <italic>b</italic>, <italic>ℓ</italic>, <italic>τ</italic>, <italic>γ</italic>) and 𝕽<italic>n</italic>(<italic>µ</italic>, <italic>a</italic>, <italic>b</italic>, <italic>ℓ</italic>, <italic>τ</italic>, <italic>γ</italic>) of analytic univalent functions defined by Erdelyi-Kober integral operator. We obtain coefficient inequalities, inclusion relationships involving the (<italic>n, δ</italic>)- 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<italic>n</italic>(<italic>µ</italic>, <italic>a</italic>, <italic>b</italic>, <italic>ℓ</italic>, <italic>τ</italic>, <italic>γ</italic>) and 𝕽<italic>n</italic>(<italic>µ</italic>, <italic>a</italic>, <italic>b</italic>, <italic>ℓ</italic>, <italic>τ</italic>, <italic>γ</italic>) are derived.
</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.

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

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Mar 30, 2022

Page range: 23 - 36

Received: Oct 29, 2021

Accepted: Nov 27, 2021

DOI: https://doi.org/10.2478/gm-2021-0012

Keywords
univalent functions, generalised hypergeometric functions, Hadamard product, integral means, subordinating factor sequence

© 2021 Thomas Rosy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Mar 30, 2022

Page range: 23 - 36

Received: Oct 29, 2021

Accepted: Nov 27, 2021

DOI: https://doi.org/10.2478/gm-2021-0012

Keywordsunivalent functions, generalised hypergeometric functions, Hadamard product, integral means, subordinating factor sequence

© 2021 Thomas Rosy et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
univalent functions, generalised hypergeometric functions, Hadamard product, integral means, subordinating factor sequence