Abstract
<jats:p>In this article, we investigate majorization results for a class of meromorphic univalent functions of complex order. By utilizing differential operators, various subclasses of analytic and meromorphic functions have been previously defined and studied. Our research focuses on majorization properties within this specific class. Because the $q$-calculus (quantum calculus) has applications in many mathematical fields, the present study aims to improve and generalize majorization results for the class of meromorphic functions combined by $q$-differential operator while presenting a valid form of previously reported results. Additionally, advances in the area under study were achieved, and various novel implications of the main conclusion presented as corollaries were provided. We also highlight some new or known consequences of our results in the form of corollaries. In particular, some of early known results are improved and refined.</jats:p>