On radius problems in the class of univalent functions

Ahmed Amer, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let SL *(β) denote the class of all analytic functions f in the unit disc U with the normalization f(0) = f′(0) -1 = 0, and satisfying the condition (Equation presenet) Thus, zf′(z)/f(z) is the interior of the right half of the lemniscate of Bernoulli γ: (x 2 + y 2) 2 - 2(1 - β)(x 2 - y 2) = 0. The radii of β-convexity, β-starlikeness (and some of others) for f ∈ SL *(β) are determined.

Original languageEnglish
Pages (from-to)471-476
Number of pages6
JournalInternational Journal of Pure and Applied Mathematics
Volume73
Issue number4
Publication statusPublished - 2011

Fingerprint

Lemniscate of Bernoulli
Starlikeness
Univalent Functions
Unit Disk
Normalization
Convexity
Analytic function
Interior
Radius
Denote
Class

Keywords

  • Analytic functions
  • Convex functions
  • K-starlike functions
  • Starlike functions
  • Strongly starlike functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On radius problems in the class of univalent functions. / Amer, Ahmed; Darus, Maslina.

In: International Journal of Pure and Applied Mathematics, Vol. 73, No. 4, 2011, p. 471-476.

Research output: Contribution to journalArticle

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