CERTAIN SUBCLASSES OF HOLOMORPHIC FUNCTIONS DEFINED BY THE GAUSSIAN HYPERGEOMETRIC FUNCTIONS
By making use of the generalized differential operator, a new subclass of analytic functions with negative coefficients is defined. The coefficient estimates, distortion bounds and results on integral transforms are obtained. Many well-known and new results are shown to follow as special cases of our results.
analytic, univalent, convolution, starlikeness, convexity, close-to-convexity.