A Specific Category of Harmonic Functions Characterized By A Generalized Komatu Operator in Conjunction With The (R-K) Integral Operator and Applications to Neutrosophic Complex Field

Audy Hatim Saheb^1,*, Rafid Habib Buti²

¹Department of Mathematics, College of Education for Pure Sciences, the University of Babylon, Iraq

     ² Department of Mathematics and computer applications, College of Science, Al Muthanna University, Iraq

Emails: pure.aday.saheb@uobabylon.edu.iq; Sci.rafid@mu.edu.iq

Abstract

In our work, we introduced a distinct subclass of univalent harmonic functions referred to as a subclass of chiral functions. These functions are defined by combining the generalized Komatu operator with the integral operator (R − K), which has positive coefficients within the unit disc A. Also, we generalize the same subclass into neutrosophic complex numbers. Throughout our investigation, we establish several properties associated with these functions, including coefficient estimates, the convex formula, the integral operator, and the Hadamard product. On the other hand, we present the Neutrosophic convex formula and the neutrosophic integral operator.

Keyword. Spiral-like functions generalized integral operator; sufficient coefficient, convex combination; neutrosophic complex numbers; neutrosophic convex formula.