An Investigation on Minimal Surfaces of Multivalent Harmonic Functions
نویسندگان
چکیده
The projection on the base plane of a regular minimal surface S in R with isothermal parameters defines a complex-valued univalent harmonic function f = h(z) + g(z). The aim of this paper is to obtain the distortion inequalities for the Weierstrass-Enneper parameters of the minimal surface for the harmonic multivalent functions for which analytic part is an m-valent convex function. 2000 Mathematics Subject Classification: Primary 30C99; Secondary 31A05, 53A10, 30C55
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