Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions
UDC 517.588, 517.54 We investigate the convexity and monotonicity properties for two classes of analytic functions related to the Le~Roy-type hypergeometric function. Numerical examples and graphical illustrations support our theoretical findings and motivate a proposed conjecture.
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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9392 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1866663722074767360 |
|---|---|
| author | Mehrez, Khaled Alenazi, Abdelaziz Mehrez, Khaled Alenazi, Abdelaziz |
| author_facet | Mehrez, Khaled Alenazi, Abdelaziz Mehrez, Khaled Alenazi, Abdelaziz |
| author_institution_txt_mv | [
{
"author": "Khaled Mehrez",
"institution": "Department of Mathematics, Kairouan Preparatory Institute for Engineering Studies, University of Kairouan, Kairouan, Tunisia and Research Laboratory: Chemistry, Materials and Modeling, Preparatory Institute for Engineering Studies of Kairouan, University of Kairouan, Kairouan, Tunisia"
},
{
"author": "Abdelaziz Alenazi",
"institution": "Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia and Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, Saudi Arabia"
}
] |
| author_sort | Mehrez, Khaled |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-05-30T12:44:21Z |
| description | UDC 517.588, 517.54
We investigate the convexity and monotonicity properties for two classes of analytic functions related to the Le~Roy-type hypergeometric function. Numerical examples and graphical illustrations support our theoretical findings and motivate a proposed conjecture. |
| doi_str_mv | 10.3842/umzh.v78i5-6.9392 |
| first_indexed | 2026-05-30T01:00:57Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9392 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-05-31T01:00:49Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-93922026-05-30T12:44:21Z Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions Mehrez, Khaled Alenazi, Abdelaziz Mehrez, Khaled Alenazi, Abdelaziz Analytic functions, Convexity, Monotonicity, Le Roy-type hypergeometric function, Special functions, Geometric function theory. Le Roy-type hypergeometric function; univalent functions; analytic functions; convex functions, monotonicity UDC 517.588, 517.54 We investigate the convexity and monotonicity properties for two classes of analytic functions related to the Le~Roy-type hypergeometric function. Numerical examples and graphical illustrations support our theoretical findings and motivate a proposed conjecture. УДК 517.588, 517.54 Опуклість і монотонність аналітичних функцій, пов'язаних із гіпергеометричними функціями типу Ле Руа Досліджено властивості опуклості та монотонності для двох класів аналітичних функцій, що пов'язані з гіпергеометричною функцією типу Ле Руа. Числові приклади та графічні ілюстрації підтверджують наші теоретичні результати та слугують підґрунтям для висунутої гіпотези. Institute of Mathematics, NAS of Ukraine 2026-05-29 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9392 10.3842/umzh.v78i5-6.9392 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 5-6 (2026); 372–373 Український математичний журнал; Том 78 № 5-6 (2026); 372–373 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9392/10659 Copyright (c) 2026 Khaled Mehrez, Abdelaziz Alenazi |
| spellingShingle | Mehrez, Khaled Alenazi, Abdelaziz Mehrez, Khaled Alenazi, Abdelaziz Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title | Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title_alt | Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title_full | Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title_fullStr | Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title_full_unstemmed | Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title_short | Convexity and monotonicity of analytic functions related to Le Roy-type hypergeometric functions |
| title_sort | convexity and monotonicity of analytic functions related to le roy-type hypergeometric functions |
| topic_facet | Analytic functions Convexity Monotonicity Le Roy-type hypergeometric function Special functions Geometric function theory. Le Roy-type hypergeometric function; univalent functions; analytic functions; convex functions monotonicity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9392 |
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