ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION

Cetinkaya A., TAŞTAN H. M.

HONAM MATHEMATICAL JOURNAL, no.1, pp.98-109, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.5831/hmj.2022.44.1.98
  • Journal Name: HONAM MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.98-109
  • Istanbul Kültür University Affiliated: Yes

Abstract

In the present paper, we prove the growth and distortion theorems for the spirallike functions class S-k(lambda) related to boundary radius rotation, and by using the distortion result, we get an estimate for the Gaussian curvature of a minimal surface lifted by a harmonic function whose analytic part belongs to the class S-k (lambda). Moreover, we determine and draw the minimal surface corresponding to the harmonic Koebe function.