The Fekete-szegö Problem for a Class Defined by the Hohlov Operator
نویسندگان
چکیده
Let A be the class of analytic functions in the open unit disk U . For complex numbers a, b and c (c 6= 0,−1,−2, ....), let I c be the operator defined on A by (I c (f))(z) = z2F1(a, b; c; z) ∗ f(z) where 2F1(a, b; c; z) is the Gaussian hypergeometric function. The function f in A is said to be in the class k − SP c if I a,b c (f) is a k-parabolic starlike function. For this class the Fekete-Szegö problem is settled in the present paper. 2000 Mathematics Subject Classification: 30C45, 33C15.
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