Subclass of analytic functions associated with wright function

Abstract

The Wright function is a special function with notable applications in several branches of mathematics, including geometric function theory. It helps in constructing and studying classes of analytic and univalent functions, particularly due to its connection with fractional calculus and differential subordinations. The target of this paper is to discuss a new subclass \(TS_{\mu,m}^{\lambda}(\hbar,\sigma,\varsigma)\) of univalent functions with negative coefficients related to Wright distributation in the unit disk \({U}=\{z:|z|<1\}\). We obtain basic properties like coefficient inequality, distortion and covering theorem, radii of starlikeness, convexity and close-to-convexity, extreme points, Hadamard product, and closure theorems for functions belonging to our class.