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The Riemann surfaces of a function and its fractional integral
Published online by Cambridge University Press: 31 October 2008
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1. Introduction. For a many-valued function f(z) of the complex variable z, a Riemann surface can be constructed such that, at any point z on the surface, the function has only one value; a function normally multiform, is therefore uniform on a certain Riemann surface.
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- Copyright © Edinburgh Mathematical Society 1954
References
1 Fabian, , Phil. Mag., 39, 783 (1935).Google Scholar
1 Fabian, : Phil. Mag., 39, 277 (1936).Google Scholar
2 If f(z) has M cycles at p, f(z) is to be regarded as having M branch-points at p, and the theorem applies to each of these branch-points separately.
1 Fabian, : Phil. Mag., 39, 276 (1936).Google Scholar