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Mathematics 2016, 4(1), 9; doi:10.3390/math4010009

Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions

1
Department of Mathematics, Kakatiya University, Warangal, Telangana-506009, India
2
Department of Mathematics, SRIIT, Hyderabad, Telangana-501301, India
*
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 17 December 2015 / Revised: 27 January 2016 / Accepted: 2 February 2016 / Published: 25 February 2016
View Full-Text   |   Download PDF [234 KB, uploaded 25 February 2016]

Abstract

In this paper, we investigate two sub-classes S (θ, β) and K (θ, β) of bi-univalent functions in the open unit disc Δ that are subordinate to certain analytic functions. For functions belonging to these classes, we obtain an upper bound for the second Hankel determinant H2 (2). View Full-Text
Keywords: analytic functions; univalent functions; bi-univalent functions; second Hankel determinants analytic functions; univalent functions; bi-univalent functions; second Hankel determinants
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bharavi Sharma, R.; Rajya Laxmi, K. Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions. Mathematics 2016, 4, 9.

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