Some Results Involving Functions with Negative Coefficients and Al-Oboudi Operator

Abstract

Al-Oboudi operator is used here to define a new class of analytic functions whose non-negative coefficients from the second onwards
are negative. We prove some interesting properties like coefficient inequalities, distortion bounds and convolution properties for the above class.   Also a result which unifies radii of close-to-convexity, starlikeness and convexity is obtained.