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In this paper we give some applications of a lemma of Babalola and Opoola\cite{BO}, which is a classical extension of an earlier one by Lewandowski,Miller and Zlotkiewicz \cite{LMZ}. The applications were given via a newgeneralization of some well-known subclasses of univalent functions, and theyunify many known results.

Some Applications of a Lemma Concerning Analytic Functions Having Positive Real Parts in the Unit Disk