Some properties of differential operator to the subclass of univalent functions with negative coefficients

Various function theorists have successfully defined and investigated different kinds of analytic functions. The applications such functions played significant roles in geometry theory as a field complex analysis. In this work, therefore, certain subclass univalent is using generalized differential operator we discussed \(TS_{\sigma, \delta} ^{~ \wp} (\vartheta ,\hbar ,\ell )\) with negative coefficients related to the unit disk \( \mathbb { U }=\left \{{z \in \mathbb{ C }:|z|<1}\right \}\). We obtain basic properties like coefficient inequality, distortion covering theorem, radii starlikeness, convexity close-to-convexity, extreme points, Hadamard product, closure theorems for belonging our class.