A class of analytic functions defined using fractional Ruscheweyh–Goyal derivative and its majorization properties

In the current study, we look at the majorization characteristics of the subclass \(U_{m}(\alpha ,\eta ,\delta )\) $U_m(\alpha ,\eta ,\delta )$ of analytical functions described by the fractional Ruscheweyh–Goyal derivative. There are additional linkages made between the major findings of this study and those of prior researchers that are pertinent. Furthermore, we highlight a few novel or established implications of our primary finding.