MATEMATICKI VESNIK, cilt.60, sa.3, ss.165-171, 2008 (ESCI)
For analytic function f(z) = z + a(2)z(2) + . . . in the open unit disc D, a new fractional operator D(lambda)f(z) is defined. Applying this fractional operator D(lambda)f(z) and the principle of subordination, we give new proofs for some classical results concerning the class S-lambda(*)(A, B, alpha) of functions f(z).