Majorization for Certain Classes of Analytic Functions Defined by Fournier–Ruscheweyh Integral Operator

Abstract

In this paper, we introduce three new classes $S_k^a\left[M,N;\mu \right],R_k^a\left(\mu \right)$ , and $T_k^a\left(\theta \right)$ of analytic functions defined by Fournier–Ruscheweyh integral operator. For these classes, we investigate the majorization problem. Furthermore, a number of new results are shown to follow upon specializing the parameters involved in our main results.