Estimates on initial coefficients of certain subclasses of bi-univalent functions associated with quasi-subordination

  • Authors

    • Amol Patil AISSMS's College of Engineering, Pune, Maharashtra, India.
    • Uday Naik Willingdon College, Sangli, Maharashtra, India.
    2016-12-24
    https://doi.org/10.14419/gjma.v5i1.6959
  • Analytic function, Bi-univalent function, Quasi-subordination, Subordination, Univalent function.

  • Abstract

    v  In the present investigation we introduce some subclasses of the function class ∑ of bi-univalent functions defined in the open unit disk U, which are associated with the quasi-subordination. We obtain the estimates on initial coefficients |a2| and |a3| for the functions in these subclasses. Also several related subclasses are considered and connection with some known results are established.

  • References

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  • How to Cite

    Patil, A., & Naik, U. (2016). Estimates on initial coefficients of certain subclasses of bi-univalent functions associated with quasi-subordination. Global Journal of Mathematical Analysis, 5(1), 6-10. https://doi.org/10.14419/gjma.v5i1.6959

    Received date: 2016-11-16

    Accepted date: 2016-12-19

    Published date: 2016-12-24