On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator

Maslina Darus, K. Al Shaqsi

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Let SH denote the class of functions f = h + ḡ which axe harmonic univalent and sense preserving in the unit disk U. Al-Shaqsi and Darus[7] introduced a generalized Ruscheweyh derivatives operator 00 denoted by Dλ n where Dλ n(z) = z+ ∑k=2 ?∞1 + λ(k - 1)]C(n, k)a kzk, where C(n, k) = (k+n-1 n). The authors, using this operators, introduce the class Hλ n of functions which are harmonic in U. Coefficient bounds, distortion bounds and extreme points are obtained.

Original languageEnglish
Pages (from-to)19-26
Number of pages8
JournalLobachevskii Journal of Mathematics
Volume22
Issue number1
Publication statusPublished - 2006

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Ruscheweyh Derivative
Generalized Derivatives
Univalent Functions
Harmonic Functions
Harmonic
Coefficient Bounds
Extreme Points
Operator
Unit Disk
Denote
Class

Keywords

  • Derivative operator
  • Harmonic functions
  • Univalent functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator. / Darus, Maslina; Al Shaqsi, K.

In: Lobachevskii Journal of Mathematics, Vol. 22, No. 1, 2006, p. 19-26.

Research output: Contribution to journalArticle

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