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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2019, Volume 105, Issue 4, paper published in the English version journal (Mi mz11718)

Papers published in the English version of the journal

Third-Order Hankel Determinant for Transforms of the Reciprocal of Bounded Turning Functions

D. Vamshee Krishnaa, T. RamReddyb, D. Shalinic

a Department of Mathematics, GITAM University, Visakhapatnam-530 045, A. P., India
b Department of Mathematics, Kakatiya University, Warangal-506 009, T. S., India
c Department of Mathematics, Dr. B. R. Ambedkar University, Srikakulam-532 410, A. P., India

Abstract: In this paper, we make an attempt to introduce a new subclass of analytic functions. Using the Toeplitz determinants, we obtain the best possible upper bound for the third-order Hankel determinant associated with the $k^{th}$ root transform $[f(z^{k})]^{{1}/{k}}$ of the normalized analytic function $f(z)$ when it belongs to this class, defined on the open unit disc in the complex plane.

Keywords: analytic function, upper bound, reciprocal of a bounded turning function, third Hankel functional, positive real function, Toeplitz determinants.

English version:
Mathematical Notes, 2019, 105:4, 535–542

Bibliographic databases:

Revised: 18.10.2018
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Citation: D. Vamshee Krishna, T. RamReddy, D. Shalini, “Third-Order Hankel Determinant for Transforms of the Reciprocal of Bounded Turning Functions”, Math. Notes, 105:4 (2019), 535–542

Citation in format AMSBIB
\Bibitem{VamRamSha19} \by D.~Vamshee Krishna, T.~RamReddy, D.~Shalini \paper Third-Order Hankel Determinant for Transforms of the Reciprocal of Bounded Turning Functions \jour Math. Notes \yr 2019 \vol 105 \issue 4 \pages 535--542 \mathnet{http://mi.mathnet.ru/mz11718} \crossref{https://doi.org/10.1134/S000143461903026X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000467561600026} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065643476}