Study of analytic function related to the Le Roy-type Mittag-Leffler function
UDC 517.547 We study some geometric properties (such as univalence, starlikeness, convexity, and close-to-convexity) of Le Roy-type Mittag-Leffler function. In order to achieve our goal, we use new two-sided inequalities for the digamma function. Some examples are als...
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| Дата: | 2023 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7013 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.547
We study some geometric properties (such as univalence, starlikeness, convexity, and close-to-convexity) of Le Roy-type Mittag-Leffler function. In order to achieve our goal, we use new two-sided inequalities for the digamma function. Some examples are also provided to illustrate the  obtained results. Interesting consequences are deduced to show that these results improve several results available in the literature for the  two-parameter  Mittag-Leffler function. |
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| DOI: | 10.37863/umzh.v75i5.7013 |