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In this paper we consider a new integral operator I (f₁, ..., f_n; g₁, ..., g_n) (z) for analytic functions f_i(z), g_i(z) in the open unit disk U. The main object of the present paper is to study the order of convexity for this integral operator.

Mathematics Subject Classification (2010): 30C45.

Keywords: Analytic functions, integral operator, starlike functions, convex functions, general Schwarz lemma.