Integral operator and starlike functions
We define a class of univalent starlike functions and consider the following integral operator: F(z) = gamma+1/z(gamma) f(t)t(gamma-1) dt, gammagreater than or equal to0. It is well known that, if f is starlike, then F is also starlike. We extend this result for a more general class. (C) 2002 Elsevier Science Ltd. All rights reserved.
integral operator starlike functions alpha-convex functions holomorphic function