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STUDIA MATHEMATICA - Issue no. 2 / 2016 | |||||||
Article: |
ON A SUBCLASS OF ANALYTIC FUNCTIONS FOR OPERATOR ON A HILBERT SPACE. Authors: SANTOSH B. JOSHI. |
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Abstract:
In this paper we introduce and study a subclass of analytic functionsfor operators on a Hilbert space in the open unit disk U = {z Î C : ú zú < 1}. We have established coefficient estimates, distortion theorem for this subclass, and also an application to operators based on fractional calculus for this class isinvestigated. Mathematics Subject Classification (2010): 30C45. Keywords: Univalent function, coefficient estimates, distortion theorem.
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