On univalent functions with respect to k-symmetric points defined by a generalized Ruscheweyh derivatives operator

K. Al-Shaqsi, Maslina Darus

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We introduced a new differential operator Dn λf(z) where n ∈ No and λ ≥ 0. This operator gave the generalization of the Ruscheweyh derivatives operator. We studied some properties belonging to this operator and used this operator to introduce a new subclass Ks (k) (n, λ, φ) of starlike functions with respect to k-symmetric points defined.

Original languageEnglish
Pages (from-to)53-61
Number of pages9
JournalJournal of Analysis and Applications
Volume7
Issue number1
Publication statusPublished - Mar 2009

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Ruscheweyh Derivative
Generalized Derivatives
Univalent Functions
Derivatives
Operator
Starlike Functions
Differential operator

Keywords

  • K-symmetric points
  • Ruscheweyh derivatives operator
  • Univalent functions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "We introduced a new differential operator Dn λf(z) where n ∈ No and λ ≥ 0. This operator gave the generalization of the Ruscheweyh derivatives operator. We studied some properties belonging to this operator and used this operator to introduce a new subclass Ks (k) (n, λ, φ) of starlike functions with respect to k-symmetric points defined.",
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KW - Ruscheweyh derivatives operator

KW - Univalent functions

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