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http://dx.doi.org/10.5831/HMJ.2022.44.1.98

ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION  

Cetinkaya, Asena (Department of Mathematics and Computer Science Istanbul Kultur University)
Tastan, Hakan Mete (Department of Mathematics, Faculty of Science, Istanbul University)
Publication Information
Honam Mathematical Journal / v.44, no.1, 2022 , pp. 98-109 More about this Journal
Abstract
In the present paper, we prove the growth and distortion theorems for the spirallike functions class 𝓢k(λ) 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 𝓢k(λ). Moreover, we determine and draw the minimal surface corresponding to the harmonic Koebe function.
Keywords
Bounded radius rotation; spirallike function; minimal surface;
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