In this paper, we intorduce a family of analytic functions in the open unit disk which is bi-univalent. By the virtue of the Faber polynomial expansions, the estimation of n−th(n≥3) Taylor–Maclaurin coefficients an is obtained. Furthermore, the bounds value of the first two coefficients of such functions is established.
In this paper we derive some properties of multivalent functions belonging to the classes Rp,q(α) , Bp,q(α) , and Mp,q(α). The results obtained generalize the related works of some authors, and many other new results are obtained.
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