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Coefficient Inequalities of Functions Associated with Petal Type Domains

Author

Listed:
  • 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)

Abstract

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.

Suggested Citation

  • Sarfraz Nawaz Malik & Shahid Mahmood & Mohsan Raza & Sumbal Farman & Saira Zainab, 2018. "Coefficient Inequalities of Functions Associated with Petal Type Domains," Mathematics, MDPI, vol. 6(12), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:298-:d:187442
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    Cited by:

    1. Suha B. Al-Shaikh & Khaled Matarneh & Ahmad A. Abubaker & Mohammad Faisal Khan, 2023. "Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain," Mathematics, MDPI, vol. 11(9), pages 1-20, April.

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