ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION
In the present paper, we prove the growth and distortion theorems for the spirallike functions class S k (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 b...
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Veröffentlicht in: | Honam mathematical journal 2022-03, Vol.44 (1), p.98-109 |
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description | In the present paper, we prove the growth and distortion theorems for the spirallike functions class S k (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 S k (λ). Moreover, we determine and draw the minimal surface corresponding to the harmonic Koebe function. |
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title | ON SPIRALLIKE FUNCTIONS RELATED TO BOUNDED RADIUS ROTATION |
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