African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 227

Full Length Research Paper

Multivalent harmonic uniformly convex functions

R. M. EL-Ashwah
  • R. M. EL-Ashwah
  • Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt.
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M. K. Aouf
  • M. K. Aouf
  • Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
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F. M. Abdulkarem
  • F. M. Abdulkarem
  • Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt.
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  •  Received: 10 March 2014
  •  Accepted: 13 October 2014
  •  Published: 06 November 2014

Abstract

In this paper, several properties of the multivalent harmonic uniformly convex classes    and  were investigated. Coefficient bounds, distortion theorem, extreme points, convolution condition, convex combinations and integral operator for these classes were obtained.

 

Key words: Harmonic, multivalent functions, convex, convolution.