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.
Збережено в:
| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9392 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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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| DOI: | 10.3842/umzh.v78i5-6.9392 |