Coefficient Inequalities of Functions Associated with Hyperbolic Domains

Mathematics

Saira Zainab¹  SarfrazNawaz Malik²  Nazeer Muhammad²  Sumbal Farman²  Mohsan Raza³  Shahid Mahmood⁴ 

[1] Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi 46000, Pakistan;Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan;Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan;Department of Mechanical Engineering, Sarhad University of Science and I.T, Ring Road, Peshawar 25000, Pakistan;

关键词: analytic functions;    starlike functions;    convex functions;    Fekete-Szegö inequality;   

DOI  :  10.3390/math7010088

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown