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Matematicheskie Zametki, 2024, Volume 116, Issue 4, paper published in the English version journal (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
Published: 11.10.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 4, Pages 841–852
DOI: https://doi.org/10.1134/S0001434624090384
Bibliographic databases:
Document Type: Article
Language: English
Citation: D. Elumalai, R. G. Raman, “Starlikeness and convexity properties of Clausen's hypergeometric functions within the Janowski-type class”, Math. Notes, 116:4 (2024), 841–852
Citation in format AMSBIB
\Bibitem{EluRam24}
\by D.~Elumalai, R.~G.~Raman
\paper Starlikeness and convexity properties of Clausen's hypergeometric functions within the Janowski-type class
\jour Math. Notes
\yr 2024
\vol 116
\issue 4
\pages 841--852
\mathnet{http://mi.mathnet.ru/mzm14525}
\crossref{https://doi.org/10.1134/S0001434624090384}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85213298252}
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