Classes with negative coefficients and starlike with respect to other points II

Suzeini Abdul Halim, Aini Janteng, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A class Ss*T(α, β, σ, k) of functions f which are analytic and univalent in the open unit disk D = {z : |z| < 1} given by f(z) = z - Σn=2 anz n and satisfying the condition |zf′(z)/f(z)-f(-z) - k| < β|αzf′(z)/f(z) - f(-z) - (2σ - k) for 0 ≤ α ≤ 1, 0 < β ≤ 1, 0 ≤ σ ≤1/2 < k ≤ 1, z ∈ D, is introduced and studied. An analogous class Sc*T(α, β, σ, k) and Ssc*T(α, β, σ, k) are also examined.

Original languageEnglish
Pages (from-to)345-354
Number of pages10
JournalTamkang Journal of Mathematics
Volume37
Issue number4
Publication statusPublished - 2006

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Keywords

  • Analytic
  • Starlike with respect to symmetric points
  • Univalent

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Classes with negative coefficients and starlike with respect to other points II. / Halim, Suzeini Abdul; Janteng, Aini; Darus, Maslina.

In: Tamkang Journal of Mathematics, Vol. 37, No. 4, 2006, p. 345-354.

Research output: Contribution to journalArticle

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AB - A class Ss*T(α, β, σ, k) of functions f which are analytic and univalent in the open unit disk D = {z : |z| < 1} given by f(z) = z - Σn=2 ∞anz n and satisfying the condition |zf′(z)/f(z)-f(-z) - k| < β|αzf′(z)/f(z) - f(-z) - (2σ - k) for 0 ≤ α ≤ 1, 0 < β ≤ 1, 0 ≤ σ ≤1/2 < k ≤ 1, z ∈ D, is introduced and studied. An analogous class Sc*T(α, β, σ, k) and Ssc*T(α, β, σ, k) are also examined.

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