Contents V.7, N.2, 2016

  • SECOND HANKEL DETERMINANT FOR A CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    B.A.FRASIN , K.VIJAYA, M.KASTHURI (pp. 185-199)
  • Abstract.

    Abstract. In the present paper, we consider a subclass of the function class Σ of bi-univalent analytic functions in the open unit disk ∆ and we obtain the functional |a2a4 − a 2 3| for the function class. Also we give upper bounds for |a2a4 − a 2 3|. Our result gives corresponding |a2a4 − a 2 3| for the subclasses of Σ defined in the literature.

    Keywords:

    Univalent functions, analytic functions, Bi-univalent functions, coefficient bounds, Hankel determinant.

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