On certain subclass of normalized analytic function associated with Rusal differential operator
Authors :
T. G. Thange 1 * and S. S. Jadhav 2
Author Address :
1 Department of Mathematics, Yogeshwari Mahavidyalaya, Ambejogai-431517, Maharashtra, India.
2 Department of Mathematics, Sundarrao More Arts, Commerce, and Science (Sr.) College, Cholai- 402303, Maharashtra, India.
*Corresponding author.
Abstract :
In this article the author discusses the two subclasses namely $\check{K_{p}}(A^{n}_{\lambda};\gamma,\mu,m,\beta)$ and $K_{p}(A^{m}_{\lambda};\gamma,\mu,m,\beta)$ of normalized analytic functions. With convex combination of Ruschwey and Al-Oboudi differential operator we derived Rusal differential operator. Two new subclasses $\check{K_{p}}(A^{n}_{\lambda};\gamma,\mu,m,\beta)$ and $K_{p}(A^{n}_{\lambda};\gamma,\mu,m,\beta)$ are studied with help of Rusal differential operator.Growththeorem, Closure theorem, Integral mean inequality, extreme point theorem, coefficient inequality, convolution and distortion theorem for given class are examined.
Keywords :
Analytic function, Rusal differential operator.
DOI :
Article Info :
Received : December 14, 2019; Accepted : February 29, 2020.
