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Bibliography

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L. Bers, On rings of analytic functions, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 311-315. MR 0024970 (9:575g)

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H. Florack, Reguläre und meromorphe Funktionen auf nicht geschlossenen Riemannschen Flächen, Schr. Math. Inst. Univ. Münster, no. 1, 1948, 34 pp. MR 0037362 (12:251i)

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S. Kakutani, Rings of analytic functions, Lectures on Functions of a Complex Variable, University of Michigan, 1955, pp. 71-83. MR 0070060 (16:1125b)

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H. L. Royden, Rings of analytic and meromorphic functions, Trans. Amer. Math. Soc. vol. 83 (1956) pp. 269-276. MR 0089908 (19:737a)

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W. Rudin, An algebraic characterization of conformal equivalence, Bull. Amer. Math. Soc. Abstract 61-6-748.