A CERTAIN SUBCLASS OF MULTIVALENT ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS FOR OPERATOR ON HILBERT SPACE

Abbas Kareem Wanas

doi:10.22342/jims.21.2.228.77-82

Abbas Kareem Wanas ⁽¹⁾

(1) Department of Mathematics College of Computer Science and Mathematics University of Al-Qadisiya Diwaniya, Iraq

https://doi.org/10.22342/jims.21.2.228.77-82

Issue
Volume 21 Number 2 (October 2015)

Submitted
November 3, 2015

Accepted
November 3, 2015

Published
November 3, 2015

Keywords:

Hilbert space, analytic function, convex set, extreme points.

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Abstract

By making use of the operators on Hilbert space, we introduce and study
a subclass Ak of multivalent analytic functions with negative coecients. Also we obtain some geometric properties.

DOI : http://dx.doi.org/10.22342/jims.21.2.228.77-82

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Authors

Abbas Kareem Wanas

Department of Mathematics College of Computer Science and Mathematics University of Al-Qadisiya Diwaniya

abbas.alshareefi@yahoo.co.uk (Primary Contact)

Wanas, A. K. (2015). A CERTAIN SUBCLASS OF MULTIVALENT ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS FOR OPERATOR ON HILBERT SPACE. Journal of the Indonesian Mathematical Society, 21(2), 77–82. https://doi.org/10.22342/jims.21.2.228.77-82