The Siciak-Zahariuta extremal function as the envelope of disc functionals
Finnur Lárusson, Ragnar Sigurdsson (2005)
Annales Polonici Mathematici
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We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.