MSC 2010: 30C45, 30C50The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients.
By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the -neighborhoods of various subclasses of starlike and convex functions of complex order which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.
We introduce subclasses of analytic functions of bounded radius rotation, bounded boundary rotation and bounded Mocanu variation with respect to -symmetric conjugate points and study some of its basic properties.