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

N. Shilpa, S. Latha
2012 Journal of Advanced Studies in Topology  
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.
doi:10.20454/jast.2012.239 fatcat:eibgsipjczchhhk4jxrhhg2gki