In this paper, we obtain certain properties of an operator defined
by the convolution between Ruscheweyh and Salagean differential operator; coefficient inequality, extreme point growth and
distortion among other properties are investigated.
Cite this paper
Terwase, A. P. (2017). On Certain Subclass of Analytic Functions Based on Convolution of Ruscheweyh and Generalized Salagean Differential Operator. Open Access Library Journal, 4, e3716. doi: http://dx.doi.org/10.4236/oalib.1103716.
Khairnar, S.M. and Meena, M. (2008) Properties of a Class of Analytic and Univalent Functions Using Ruscheweyh Derivative. International Journal of Contemporary Mathematical Sciences, 3, 967-976.
Ruscheweyh, S. (1975) New Criteria for Univalent Functions. Proceedings of the AMS—American Mathematical Society, 49, 109-115. https://doi.org/10.1090/S0002-9939-1975-0367176-1
Al-Oboudi, F.M. (2004) On Univalent Functions Defined by a Generalized Salagean Operator. Indian Journal of Pure and Applied Mathematics, 25-28, 1429-1436. https://doi.org/10.1155/S0161171204108090
Esa, G.H. and Darus, M. (2007) Application of Fractional Calculus Operators to a Certain Class of Univalent Functions with Negative Co-efficients. International Mathematical Forum, 57, 2807-2814. https://doi.org/10.12988/imf.2007.07253
