p-Subordination chains and p-valence integral operators

Authors : Erhan DENİZ, Halit ORHAN, Murat ÇAĞLAR

Pages : 956-968

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Publication Date : 0000-00-00

Article Type : Research Paper

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