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The Siciak–Zahariuta extremal function as the envelope of disc functionals

The Siciak–Zahariuta extremal function as the envelope of disc functionals

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 e