p-Subordination chains and p-valence integral operators

Authors: ERHAN DENİZ, HALİT ORHAN, MURAT ÇAĞLAR

Abstract: In the present investigation we obtain some sufficient conditions for the analyticity and the $p$-valence of an integral operator in the unit disk $\mathbb{D}$. Using these conditions we give some applications for a few different integral operators. The significant relationships and relevance to other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.

Keywords: Univalent functions, $p$-valent function, $p$-subordination chain, $p$-valence criterion

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