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Mathematics 2019, 7(1), 88; https://doi.org/10.3390/math7010088

Coefficient Inequalities of Functions Associated with Hyperbolic Domains

1
Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
2
Department of Mechanical Engineering, Sarhad University of Science and I.T, Ring Road, Peshawar 25000, Pakistan
3
Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
4
Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 4 December 2018 / Revised: 4 January 2019 / Accepted: 8 January 2019 / Published: 16 January 2019
(This article belongs to the Special Issue Inequalities)
Full-Text   |   PDF [273 KB, uploaded 16 January 2019]

Abstract

In this work, our focus is to study the Fekete-Szegö functional in a different and innovative manner, and to do this we find its upper bound for certain analytic functions which give hyperbolic regions as image domain. The upper bounds obtained in this paper give refinement of already known results. Moreover, we extend our work by calculating similar problems for the inverse functions of these certain analytic functions for the sake of completeness. View Full-Text
Keywords: analytic functions; starlike functions; convex functions; Fekete-Szegö inequality analytic functions; starlike functions; convex functions; Fekete-Szegö inequality
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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Malik, S.N.; Mahmood, S.; Raza, M.; Farman, S.; Zainab, S.; Muhammad, N. Coefficient Inequalities of Functions Associated with Hyperbolic Domains. Mathematics 2019, 7, 88.

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