Coefficient Inequalities of Functions Associated with Hyperbolic Domains

Sarfraz Nawaz Malik, Shahid Mahmood, Mohsan Raza, Sumbal Farman, Saira Zainab and Nazeer Muhammad
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Sarfraz Nawaz Malik: Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
Shahid Mahmood: Department of Mechanical Engineering, Sarhad University of Science and I.T, Ring Road, Peshawar 25000, Pakistan
Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Sumbal Farman: Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
Saira Zainab: Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan
Nazeer Muhammad: Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan

Mathematics, 2019, vol. 7, issue 1, 1-11

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.

Keywords: analytic functions; starlike functions; convex functions; Fekete-Szegö inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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