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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 5, Pages 663–671
DOI: https://doi.org/10.17516/1997-1397-2022-15-5-663-671 (Mi jsfu1034) 		 
Second Hankel determinant for bi-univalent functions associated with $q$-differential operator

Mallikarjun G. Shrigan

Bhivarabai Sawant Institute of Technology and Research, Pune, Maharashtra State, India
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DOI: https://doi.org/10.17516/1997-1397-2022-15-5-663-671
Abstract: The objective of this paper is to obtain an upper bound to the second Hankel determinant denoted by $H_{2}(2)$ for the class $S_{q}^{*}(\alpha)$ of bi-univalent functions using $q$-differential operator.
Keywords: Hankel determinant, bi-univalent functions, $q$-differential operator, Fekete-Szegö functional.
Received: 21.09.2021
Received in revised form: 10.03.2022
Accepted: 20.07.2022
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Mallikarjun G. Shrigan, “Second Hankel determinant for bi-univalent functions associated with $q$-differential operator”, J. Sib. Fed. Univ. Math. Phys., 15:5 (2022), 663–671
Citation in format AMSBIB
\Bibitem{Shr22}
\by Mallikarjun~G.~Shrigan
\paper Second Hankel determinant for bi-univalent functions associated with $q$-differential operator
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 5
\pages 663--671
\mathnet{http://mi.mathnet.ru/jsfu1034}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-5-663-671}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4497575}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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