Extremal problems in the class of close-to-convex functions
S. Walczak (1971)
Annales Polonici Mathematici
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S. Walczak (1971)
Annales Polonici Mathematici
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V.E. Zizler, J.H.M. Whitfield (1988)
Mathematische Zeitschrift
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Le Van Hot (1981)
Acta Universitatis Carolinae. Mathematica et Physica
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J. Siciak (1964)
Colloquium Mathematicae
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S. Kołodziej (1989)
Annales Polonici Mathematici
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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.
Siegfried Helbig (1988)
Commentationes Mathematicae Universitatis Carolinae
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J. Śladkowska (1983)
Annales Polonici Mathematici
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