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König's Theorem

If an Analytic Function has a single simple Pole at the Radius of Convergence of its Power Series, then the ratio of the coefficients of its Power Series converges to that Pole.

See also Pole


König, J. ``Über eine Eigenschaft der Potenzreihen.'' Math. Ann. 23, 447-449, 1884.

© 1996-9 Eric W. Weisstein