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Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions

Author

Listed:
  • Rayaprolu Bharavi Sharma

    (Department of Mathematics, Kakatiya University, Warangal, Telangana-506009, India)

  • Kalikota Rajya Laxmi

    (Department of Mathematics, SRIIT, Hyderabad, Telangana-501301, India)

Abstract

In this paper, we investigate two sub-classes S ∗ (θ, β) and K ∗ (θ, β) of bi-univalent functions in the open unit disc Δ that are subordinate to certain analytic functions. For functions belonging to these classes, we obtain an upper bound for the second Hankel determinant H 2 (2).

Suggested Citation

  • Rayaprolu Bharavi Sharma & Kalikota Rajya Laxmi, 2016. "Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions," Mathematics, MDPI, vol. 4(1), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:1:p:9-:d:64417
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    References listed on IDEAS

    as
    1. Paweł Zaprawa, 2014. "Estimates of Initial Coefficients for Bi-Univalent Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, May.
    2. Deniz, Erhan & Çağlar, Murat & Orhan, Halit, 2015. "Second Hankel determinant for bi-starlike and bi-convex functions of order β," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 301-307.
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