New Differential Operator for Holomorphic Functions
Top Cited Papers
- 4 October 2019
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
Abstract
In this paper, by making use of binomial series, we define a new differential operator of holomorphic functions in the open unit disk. Also, we introduce and investigate two new classes containing this new operator associated with differential subordinations and superordinations. Furthermore, we determine important properties for functions belonging to these classes.Keywords
This publication has 7 references indexed in Scilit:
- On univalent functions defined by a generalized Sălăgean operatorInternational Journal of Mathematics and Mathematical Sciences, 2004
- Subordinants of differential superordinationsComplex Variables and Elliptic Equations, 2003
- MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONSBulletin of the Korean Mathematical Society, 2003
- Argument estimates of certain analytic functions defined by a class of multiplier transformationsMathematical and Computer Modelling, 2003
- Differential SubordinationsPublished by Taylor & Francis Ltd ,2000
- Subclasses of univalent functionsPublished by Springer Science and Business Media LLC ,1983
- Second order differential inequalities in the complex planeJournal of Mathematical Analysis and Applications, 1978