Some Results Related to Booth Lemniscate and Integral Operators

In this work, we explore the impact of integral operators such as the Libera and Alexander operators on specific families of analytic functions introduced in the literature and find some of their remarkable results. Using techniques from differential subordination and convolution theory, we establish results concerning the radius of convexity and convolution properties for these function classes. Additionally, we investigate how these integral operators influence the geometric properties of functions in BS(μ) and KS(μ), leading to new insights into their structural behavior.

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Publication Details

Journal
Fractal and Fractional
Published
2025-04-22
DOI
https://doi.org/10.3390/fractalfract9050271
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Some Results Related to Booth Lemniscate and Integral Operators

Ali Ebadian, Zahra Orouji, Bilal Khan
Fractal and Fractional
Holomorphic and Operator Theory
article

Some Results Related to Booth Lemniscate and Integral Operators

Ali Ebadian, Zahra Orouji, Bilal Khan
article en

Abstract

In this work, we explore the impact of integral operators such as the Libera and Alexander operators on specific families of analytic functions introduced in the literature and find some of their remarkable results. Using techniques from differential subordination and convolution theory, we establish results concerning the radius of convexity and convolution properties for these function classes. Additionally, we investigate how these integral operators influence the geometric properties of functions in BS(μ) and KS(μ), leading to new insights into their structural behavior.

Fractal and FractionalVol. 9(5)
Urmia University (IR), Henan Academy of Sciences (CN)
Openalex Percentile: Top 88%
Holomorphic and Operator Theory
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