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http://dx.doi.org/10.4134/BKMS.2014.51.6.1625

INCLUSION AND NEIGHBORHOOD PROPERTIES OF CERTAIN SUBCLASSES OF p-VALENT ANALYTIC FUNCTIONS OF COMPLEX ORDER INVOLVING A LINEAR OPERATOR  

Sahoo, Ashok Kumar (Department of Mathematics VSS University of Technology)
Patel, Jagannath (Department of Mathematics Utkal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1625-1647 More about this Journal
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;
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