On certain general integral operators of analytic functions

نویسندگان

  • B. A. FRASIN
  • B. A. Frasin
چکیده

In this paper, we obtain new sufficient conditions for the operators Fα1,α2,...,αn,β(z) and Gα1,α2,...,αn,β(z) to be univalent in the open unit disc U , where the functions f1, f2, . . . , fn belong to the classes S(a, b) and K(a, b). The order of convexity for the operators Fα1,α2,...,αn,β(z) and Gα1,α2,...,αn,β(z) is also determined. Furthermore, and for β = 1, we obtain sufficient conditions for the operators Fn(z) and Gn(z) to be in the class K(a, b). Several corollaries and consequences of the main results are also considered.

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تاریخ انتشار 2012