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.

**References**

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

© 1996-9

1999-05-26