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On the expansion of in positive integral powers of z, when n is a positive integer

Published online by Cambridge University Press:  20 January 2009

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The radius of convergence of the power series is 2π.

The function is regular within a circle whose centre is the origin of the z plane and radius 2π, and can be expanded in a Taylor's series converging at all points within the circle.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1912