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Abstract: In the present paper, we investigate the majorization properties for certain classes of multivalent analytic functions defined by the Sălăgean operator. Moreover, we point out some new and interesting consequences of our main result. [ABSTRACT FROM AUTHOR]

Abstract: Here we investigate a majorization problem involving starlike function of complex order belonging to a certain class defined by means of fractional derivatives. Relevant connections of the main results obtained in this paper with those given by earlier workers on the subject are also pointed out. [Copyright &y& Elsevier]

In the present paper, we derive certain new argument properties of a class of multivalent analytic functions defined in an open unit disk by using a theorem recently established by A. Y. Lashin in 2004. Certain intersting (known or new) results are derived in the form of corollaries from our main results. [ABSTRACT FROM AUTHOR]