On Certain Subclass of Bazilevič Functions

نویسندگان

  • DONG GUO
  • MING-SHENG LIU
  • H. M. Srivastava
چکیده

Let H be the class of functions f(z) of the form f(z) = z + ∑∞ n=2 anz , which are analytic in the unit disk U = {z : |z| < 1}. In this paper, the authors introduce a subclass M (α, λ, ρ) of H and study its some properties. The subordination relationships, inclusion relationships, coefficient estimates, the integral operator and covering theorem are proven here for each of the function classes. Furthermore, some interesting Fekete-Szegö inequalities are obtained. Some of the results, presented in this paper, generalize the corresponding results of earlier authors.

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تاریخ انتشار 2007