Computational Methods and Function Theory 4 (2004), No. 1, 59--75
Copyright Heldermann Verlag 2004
Greg Rhoads
gsr@math.appstate.edu , Department of Mathematics, Appalachian State University, Boone, NC 28608, U.S.A.
Allen Weitsman
weitsman@purdue.edu , Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A.
E. F. Beckenbach and collaborators have developed a value distribution theory for minimal surfaces which parallels the work of R. Nevanlinna and others for complex meromorphic functions. We continue in the development by establishing the Lemma of the Logarithmic Derivative for minimal surfaces in R3.
Keywords: Logarithmic derivative, minimal surfaces, Nevanlinna theory.
MSC 2000: Primary 30D35; Secondary 53A10.
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