Geometric Properties of Harmonic Function Affiliated With Fractional Operator

This paper's goal is to discover new results for the harmonic univalent functions G = upsilon + eta(sic) defined in the open unit disc rho = {z : |z| < 1}. Examining KS indicates the set of all analytic harmonic functions of form G in the open unit disc rho. The convolution featuring the Mittag-Leffler function and fractional operator is applied to generate the family of harmonic univalent V-KS. Motivated by Kamali [9], we present a novel of kamali class with V-KS(b) brand-new class of harmonic univalent functions beta(gamma,b,epsilon,nu)(alpha,beta,z) inspiring inequality. Analysing Mittag-Leffler function convolution with modified tremblay operator inequality as a necessary and sufficient condition for univalent harmonic functions related to specific generalised Mittag-Leffler functions to be in the function class V-KS(b) is the aim of this research. Moreover, we discover extreme points, a distortion theorem, convolution properties, and convex combinations for the functions in V-KS(b).