Third order differential subordination associated with exponential function

UDC 517.5 Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function $q(z)=e^z$. As an application,  we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived s...

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Бібліографічні деталі
Дата:2026
Автори: Judy Lavanya, V. Agnes Sagaya, Jeyaraman, M. P., Rajakumar, M. P.
Формат: Стаття
Мова:Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/8697
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме:UDC 517.5 Using admissibilty conditions, we investigate some third-order differential subordination results with a superordinate function $q(z)=e^z$. As an application,  we obtain sufficient conditions for certain special functions to become exponential convex and exponential starlike. The derived second-order differential implications significantly generalize numerous results obtained in [A. Naz, S. Nagpal, V. Ravichandran, Mediterran.  J. Math., 17, № 204, 1–22 (2020)].
DOI:10.3842/umzh.v77i10.8697