References
S. Bergman, The kernel function and conformal mapping, New York, Am. Math. Soc.; 1950.
P. R. Garabedian, A partial differential equation arising in conformal mapping,Pacific J. Math., vol. 1, 1951, pp. 485–524.
P. R. Garabedian and M. Schiffer, Identities in the theory of conformal mapping,Trans. Am. Math. Soc., vol. 65, 1949, pp. 187–238.
P. R. Garabedian and M. Schiffer, On existence theorems of potential theory and conformal mapping,Ann. of Math., vol. 52, 1950, pp. 164–187.
Z. Nehari, A class of domain functions and some allied extremal problems,Trans. Am. Math. Soc., vol. 69, 1950, pp. 161–178.
Z. Nehari, On the numerical computation of mapping functions by orthogonalization,Proc. Nat. Acad. Sci., vol. 37, 1951, pp. 369–372.
G. Szegö, Ueber orthogonale Polynome, die zu einer gegebenen Kurve der komplexen Ebene gehören,Math. Zeits., vol. 9, 1921, pp. 218–270.
G. Szegö, Orthogonal polynomials, New York, Am. Math. Soc., 1939.
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Work supported in part by the Office of Ordnance Research under Contract DA-23-072-ORD-392.
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Nehari, Z. On weighted kernels. J. Anal. Math. 2, 126–149 (1952). https://doi.org/10.1007/BF02786973
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DOI: https://doi.org/10.1007/BF02786973