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 establis...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-04-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/9/5/271 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849711275806818304 |
|---|---|
| author | Bilal Khan Zahra Orouji Ali Ebadian |
| author_facet | Bilal Khan Zahra Orouji Ali Ebadian |
| author_sort | Bilal Khan |
| collection | DOAJ |
| description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">BS</mi><mo>(</mo><mi>μ</mi><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">KS</mi><mo>(</mo><mi>μ</mi><mo>)</mo></mrow></semantics></math></inline-formula>, leading to new insights into their structural behavior. |
| format | Article |
| id | doaj-art-7e6042d124e9415b967de31bbdaecc79 |
| institution | DOAJ |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-7e6042d124e9415b967de31bbdaecc792025-08-20T03:14:39ZengMDPI AGFractal and Fractional2504-31102025-04-019527110.3390/fractalfract9050271Some Results Related to Booth Lemniscate and Integral OperatorsBilal Khan0Zahra Orouji1Ali Ebadian2Institute of Mathematics, Henan Academy of Sciences, No. 228, Chongshi Village, Zhengdong New District, Zhengzhou 450046, ChinaDepartment of Mathematics, Urmia University, Urmia 5756151818, IranDepartment of Mathematics, Urmia University, Urmia 5756151818, IranIn 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">BS</mi><mo>(</mo><mi>μ</mi><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">KS</mi><mo>(</mo><mi>μ</mi><mo>)</mo></mrow></semantics></math></inline-formula>, leading to new insights into their structural behavior.https://www.mdpi.com/2504-3110/9/5/271univalent functionsBooth lemniscateintegral operatorsdifferential subordination |
| spellingShingle | Bilal Khan Zahra Orouji Ali Ebadian Some Results Related to Booth Lemniscate and Integral Operators Fractal and Fractional univalent functions Booth lemniscate integral operators differential subordination |
| title | Some Results Related to Booth Lemniscate and Integral Operators |
| title_full | Some Results Related to Booth Lemniscate and Integral Operators |
| title_fullStr | Some Results Related to Booth Lemniscate and Integral Operators |
| title_full_unstemmed | Some Results Related to Booth Lemniscate and Integral Operators |
| title_short | Some Results Related to Booth Lemniscate and Integral Operators |
| title_sort | some results related to booth lemniscate and integral operators |
| topic | univalent functions Booth lemniscate integral operators differential subordination |
| url | https://www.mdpi.com/2504-3110/9/5/271 |
| work_keys_str_mv | AT bilalkhan someresultsrelatedtoboothlemniscateandintegraloperators AT zahraorouji someresultsrelatedtoboothlemniscateandintegraloperators AT aliebadian someresultsrelatedtoboothlemniscateandintegraloperators |