COEFFICIENTS ESTIMATES FOR FUNCTIONS IN Bn(α)

نویسنده

  • S. ABDUL HALIM
چکیده

where Dn denotes the differential operator with Dnf(z) = D(Dn−1f(z)) = z[Dn−1f(z)]′ and D◦f(z)= f(z). Remark 1.2. The differential operator Dn was introduced by Sălăgean [5]. For n = 1, B1(α) denotes the class of Bazilević functions with logarithmic growth studied [4, 6, 7], amongst others. In [2], the author established some properties of the class Bn(α) including showing that Bn(α) forms a subclass of S, the class of all analytic, normalized, and univalent functions in D. The class B0(α) was initiated by Yamaguchi [8].

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تاریخ انتشار 2003