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 Inclusion and neighborhood properties of certain subclasses of $p$-valent analytic functions of complex order involving a linear operator Bull. Korean Math. Soc. 2014 Vol. 51, No. 6, 1625-1647 https://doi.org/10.4134/BKMS.2014.51.6.1625Published online November 30, 2014 Ashok Kumar Sahoo and Jagannath Patel VSS University of Technology, Utkal University Abstract : By making use of the familiar concept of neighborhoods of analytic functions, we prove several inclusion relationships associated with the $(n,\delta)$-neighborhoods of certain subclasses of $p$-valent analytic functions of complex order with missing coefficients, which are introduced here by means of the Saitoh operator. Special cases of some of the results obtained here are shown to yield known results. Keywords : $p$-valent analytic functions, complex order, inclusion relationships, Hadamard product, quasi-Hadamard product, subordination, neighborhood MSC numbers : 30C45 Full-Text :