Coefficient Inequalities of Functions Associated with Petal Type Domains

Mathematics

Saira Zainab¹  SarfrazNawaz Malik²  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/math6120298

来源: DOAJ

【 摘 要 】

In the theory of analytic and univalent functions, coefficients of functions’ Taylor series representation and their related functional inequalities are of major interest and how they estimate functions’ growth in their specified domains. One of the important and useful functional inequalities is the Fekete-Szegö inequality. In this work, we aim to analyze the Fekete-Szegö functional and to find its upper bound for certain analytic functions which give parabolic and petal type regions as image domains. Coefficient inequalities and the Fekete-Szegö inequality of inverse functions to these certain analytic functions are also established in this work.

【 授权许可】

Unknown