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Coefficient Bounds for Certain Subclasses of q -Starlike Functions

Author

Listed:
  • Lin-Lin Fan

    (School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, China)

  • Zhi-Gang Wang

    (School of Mathematics and Computing Science, Hunan First Normal University, Changsha 410205, Hunan, China)

  • Shahid Khan

    (Department of Mathematics, Riphah International University, Islamabad 44000, Pakistan)

  • Saqib Hussain

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • Muhammad Naeem

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Tahir Mahmood

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

Abstract

By making use of q -calculus, we define and investigate several new subclasses of bi-univalent mappings related to the q -Noor integral operator. The coefficient bounds | u 2 | , | u 3 | and the Fekete–Szegő problem u 3 − μ u 2 2 for mappings belonging to these classes are derived.

Suggested Citation

  • Lin-Lin Fan & Zhi-Gang Wang & Shahid Khan & Saqib Hussain & Muhammad Naeem & Tahir Mahmood, 2019. "Coefficient Bounds for Certain Subclasses of q -Starlike Functions," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:969-:d:276282
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    References listed on IDEAS

    as
    1. Saqib Hussain & Shahid Khan & Muhammad Asad Zaighum & Maslina Darus & Zahid Shareef, 2017. "Coefficients Bounds for Certain Subclass of Biunivalent Functions Associated with Ruscheweyh -Differential Operator," Journal of Complex Analysis, Hindawi, vol. 2017, pages 1-9, September.
    2. Şahsene Altınkaya & Sibel Yalçın, 2014. "Initial Coefficient Bounds for a General Class of Biunivalent Functions," International Journal of Analysis, Hindawi, vol. 2014, pages 1-4, April.
    3. G. Murugusundaramoorthy & N. Magesh & V. Prameela, 2013. "Coefficient Bounds for Certain Subclasses of Bi-Univalent Function," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-3, June.
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    Cited by:

    1. Muhammad Naeem & Saqib Hussain & Shahid Khan & Tahir Mahmood & Maslina Darus & Zahid Shareef, 2020. "Janowski Type q -Convex and q -Close-to-Convex Functions Associated with q -Conic Domain," Mathematics, MDPI, vol. 8(3), pages 1-13, March.

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