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Ural Mathematical Journal, 2022, Volume 8, Issue 1, Pages 128–135
DOI: https://doi.org/10.15826/umj.2022.1.011 (Mi umj166) 		 
Hankel determinant of certain orders for some subclasses of holomorphic functions

D. Vamshee Krishnaa, D. Shalinib

a Gandhi Institute of Technology and Management
b Dr. Babasaheb Ambedkar Marathwada University, Aurangabad
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DOI: https://doi.org/10.15826/umj.2022.1.011
Abstract: In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized analytic functions belong to these classes, defined on the open unit disc in the complex plane. For one of the inequality, we have obtained sharp bound.
Keywords: holomorphic function, upper bound, hankel determinant, positive real function.
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Document Type: Article
Language: English
Citation: D. Vamshee Krishna, D. Shalini, “Hankel determinant of certain orders for some subclasses of holomorphic functions”, Ural Math. J., 8:1 (2022), 128–135
Citation in format AMSBIB
\Bibitem{VamSha22}
\by D.~Vamshee~Krishna, D.~Shalini
\paper Hankel determinant of certain orders for some subclasses of holomorphic functions
\jour Ural Math. J.
\yr 2022
\vol 8
\issue 1
\pages 128--135
\mathnet{http://mi.mathnet.ru/umj166}
\crossref{https://doi.org/10.15826/umj.2022.1.011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4460032}
\elib{https://elibrary.ru/item.asp?id=49240249}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85135177972}
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