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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2024 Volume 116, Issue 4, Pages 841–852 (Mi mzm14525)

Papers published in the English version of the journal

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

Abstract: 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.

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

Received: 27.02.2024
Revised: 11.06.2024

Language: English


 English version:
Mathematical Notes, 2024, 116:4, 841–852


© Steklov Math. Inst. of RAS, 2025