MAJORIZATION RESULTS FOR A SUBCLASS OF MEROMORPHIC FUNCTIONS INVOLVING q - LINEAR OPERATORS

In this work, we investigate several majorization results for a subordination class of meromorphic functions of complex order defined by a q - linear operator. The study focuses on establishing sufficient conditions under which
majorization properties hold within this function class. By employing techniques from geometric function theory and operator theory, new inequalities and relationships are derived. Moreover, we present a number of new results
that naturally arise from the main theorems and are stated explicitly in the form of corollaries. These corollaries highlight special cases and further implications of the obtained results. The findings contribute to the broader  understanding of subordination, majorization, and q  calculus in the theory of meromorphic functions.