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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 1 / 2012 | |||||||
Article: |
ON ANALYTIC FUNCTIONS WITH GENERALIZED BOUNDED VARIATION. Authors: NINGEGOWDA RAVIKUMAR. |
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Abstract: In this paper we study a class introduced by Bhargava and Nanjunda Rao which unifies a number of classes studied previously by Mocanu and others. This class includes several known classes of analytic functions such as convex and starlike functions of order β, -convex functions, functions with bounded boundary rotation, bounded radius rotation and bounded Mocanu variation. Several interesting properties like inclusion results, arclength problem, coefficient bounds and distortion results of this class are discussed. Mathematics Subject Classification (2010): 30C45, 30C50. Keywords: Univalent functions with positive real part, bounded boundary andbounded radius rotation, arc length problems, convex functions starlike functions,alpha-convex function. |
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