Certain subclass of univalent analytic functions with negative coefficients of complex order

F. Ghanim, Maslina Darus

Research output: Contribution to journalArticle

Abstract

The object of this paper is to show some properties of functions belonging to a subclass M (A, B,b,α) (where b is a complex number with R(b) >0,α > -1 and A,B are two arbitrary constants with (-1≤B <A <1). Coefficient estimates and some distortion theorems for this class of functions are found. Radii of close-to-convexity, starlikeness, convexity, convex linear combinations are derived. Therefore, interesting operators could be obtained with some earlier results using standard methods.

Original languageEnglish
Pages (from-to)237-243
Number of pages7
JournalProceedings of the Pakistan Academy of Sciences
Volume47
Issue number4
Publication statusPublished - Dec 2010

Keywords

  • Analytic functions
  • Close-to-convexity
  • Linear combinations. AMS Mathematics Subject Classification:30C45
  • Uniformly convex functions
  • Uniformly starlike functions

ASJC Scopus subject areas

  • Social Sciences(all)

Cite this

Certain subclass of univalent analytic functions with negative coefficients of complex order. / Ghanim, F.; Darus, Maslina.

In: Proceedings of the Pakistan Academy of Sciences, Vol. 47, No. 4, 12.2010, p. 237-243.

Research output: Contribution to journalArticle

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