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ЖУРНАЛЫ // Математические заметки // Архив

Матем. заметки, 2024, том 116, выпуск 4, страницы 841–852 (Mi mzm14525)

Статьи, опубликованные в английской версии журнала

Starlikeness and convexity properties of Clausen's hypergeometric functions within the Janowski-type class

D. Elumalaia, R. G. Ramanb

a Department of Mathematics, Aringar Anna Institute of Science and Technology, Sriperumputhur, India
b PG and Research Department of Mathematics, Pachiyappa's College, Chennai, India

Аннотация: In the current study, for Clausen's hypergeometric function to fall within the broad category of Janowski starlike functions, we provide certain sufficient conditions. Furthermore, we establish explicit sufficient conditions for an integral operator defined by Clausen's hypergeometric function to belong to the class of Janowski starlike and convex functions.

Ключевые слова: Clausen's hypergeometric function, univalent function, starlike function, Janowski starlike function, Janowski convex function.

Поступило: 27.02.2024
Исправленный вариант: 11.06.2024

Язык публикации: английский


 Англоязычная версия: Mathematical Notes, 2024, 116:4, 841–852


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