International Journal of Nonlinear Analysis and Applications

Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator

Document Type : Research Paper

Authors

1 Department of Mathematics,Lucian Blaga University, 2400 Sibiu, Romania

2 Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran

Abstract

By using generalized Salagean differential operator a new class of univalent holomorphic functions with fixed finitely many
coefficients is defined. Coefficient estimates, extreme points, arithmetic mean, and weighted mean properties are investigated.

Keywords

  1. F.M. Al-Oboudi, On univalent functions by a generalized Salagean operator, Int. J. Math. Math. Sci. 27 (2004), 1429-1436.
  2. D. Raducanu, On the Fekete Szego inequality for a class of analytic functions defined by using the generalized Salagean operator, General Math. Vol. 10 (16) (2008), 19-27.
  3. G. S. Salagean, Subclasses of univalent functions, Lect. Notes Math. 1013 (1983), 362-372
  4. S, Shams and S. R. Kulkarni, A class of univalent functions with negative and fixed finitely many coefficients, Acta Ciencia Indica, XXIXM (3) (2003), 587-594.
  5. Sh. Najafzadeh and S.R. Kulkarni, Application of Ruscheweyh derivative on univalent functions with negative and fixed finitely many coefficients, Rajasthan Acad. Phy. Sci. 5(1) (2006), 39-51.
International Journal of Nonlinear Analysis and Applications
Volume 1, Issue 1 - Serial Number 1
January 2010
Pages 1-5
  • Receive Date: 26 March 2009
  • Revise Date: 07 November 2009
  • Accept Date: 13 November 2009