Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions-Reference-Cited by-同舟云学术

Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Published:2017-12-20 Issue:3 Volume:25 Page:199-214
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Vijayalakshmi S.P.¹,Sudharsan T.V.²,Breaz Daniel³,Subramanian K.G.⁴

Affiliation:

1. Department of Mathematics, Ethiraj College, Chennai - 600008 India

2. Department of Mathematics, SIVET College, Chennai - 600073 India

3. Department of Mathematics, "1 Decembrie 1918" University of Alba-Iulia, Alba-Iulia , Romania

4. Department of Mathematics, Madras Christian College, Chennai 600059 India

Abstract

Abstract Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2 ∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel determinant H3(1) for two new subclasses of A.

Publisher

Walter de Gruyter GmbH

Reference21 articles.

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2. [2] R. Bucur, D. Breaz and L. Georgescu, Third Hankel determinant for a class of analytic functions with respect to symmetric points, Acta Uni- versitatis Apulensis, 42 (2015) 79-86.

3. [3] D. Banasal, S. Maharana and J. K. Prajapat, Third Order Hankel deter- minant for certain univalent functions, J. Korean Math.Soc. 52(6) (2015) 1139-1148.

4. [4] P.L. Duren, Univalent functions, Springer Verlag, New York Inc., 1983.

5. [5] R.M. Goel and B.S. Mehrok, A class of univalent functions, J. Austral. Math. Soc. (Series A) 35 (1983) 1-17.

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