A SUBCLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY GENERALIZED FRACTIONAL CALCULUS

@article{Magesh2013ASO,
title={A SUBCLASS OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY GENERALIZED FRACTIONAL CALCULUS},
author={N. Magesh and V. Prameela},
journal={International journal of pure and applied mathematics},
year={2013},
volume={83},
pages={55-80}
}

International journal of pure and applied mathematics

In this paper we defined two new subclasses of multivalent func- tions associated with generalized fractional calculus operator. We obtained coefficients extimates, distortion bounds, extreme points,neighborhood prop- erty, inclusion results, modified Hadamard product. Further, we discussed radii of starlikeness and convexity, results on quasi Hadamard product and class pre- serving integral operator for functions in the newly defined subclass.