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Transfinite Diameter


Let

 phi(z)=cz+c_0+c_1z^(-1)+c_2z^(-2)+...

be an analytic function, regular and univalent for |z|>1, that maps |z|>1 conformally onto the region T preserving the point at infinity and its direction. Then the function phi(z) is uniquely determined and c is called the transfinite diameter, sometimes also known as Robin's constant or the capacity of phi(z).


See also

Analytic Function, Logarithmic Capacity, Regular Function, Univalent Function

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Cite this as:

Weisstein, Eric W. "Transfinite Diameter." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TransfiniteDiameter.html

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