Differential Subordination And Convex Univalent Functions

S. Aarthi

doi:https://doi.org/10.14445/22315373/IJMTT-V65I9P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 9 | Year 2019 | Article Id. IJMTT-V65I9P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I9P506

Differential Subordination And Convex Univalent Functions

S. Aarthi

Abstract

In this work, we study about the first order differential subordination equation. Then consider the analytic function p and a univalent function q. We are proposing the work to make the function q to satisfy the best dominant’s conditions of the differential subordination by making suitable changes for the functions p and q. Finally study the general differential subordination equation wherein we apply some derivatives to get an fascinating results about starlike property.

Keywords

Starlikeness, univalent functions, dominant, subordination equations.

References

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Citation :

S. Aarthi, "Differential Subordination And Convex Univalent Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 9, pp. 30-36, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I9P506