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Coefficient Estimates for Certain Subclasses of Biunivalent Functions Defined by Convolution

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  • R. Vijaya
  • T. V. Sudharsan
  • S. Sivasubramanian

Abstract

We introduce two new subclasses of the function class of biunivalent functions in the open disc defined by convolution. Estimates on the coefficients and for the two subclasses are obtained. Moreover, we verify Brannan and Clunie’s conjecture for our subclasses.

Suggested Citation

  • R. Vijaya & T. V. Sudharsan & S. Sivasubramanian, 2016. "Coefficient Estimates for Certain Subclasses of Biunivalent Functions Defined by Convolution," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, November.
    • Handle: RePEc:hin:ijanal:6958098
    DOI: 10.1155/2016/6958098
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    Cited by:

    1. Deborah Olufunmilayo Makinde, 2019. "Coefficient Estimates for Generalized Analytic Bi-Univalent Functions," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 5(12), pages 174-178, 12-2019.

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