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An Extension of the Almost Isolated Singularity of Finite Exponential Order

Published online by Cambridge University Press:  20 January 2009

R. Wilson
R. Wilson
Affiliation:
Department of Mathematics, Bedford College, London
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Let f(z) be represented on its circle of convergence |z| = 1 by the Taylor series

and suppose that its sole singularity on |z| = 1 is an almost isolated singularity at z = 1. In the neighbourhood of such a singularity f(z) is regular on a sufficiently small disk, centre z = 1, with the outward drawn radius along the positive real axis excised. If also in this neighbourhood |f(z)| e−(1/δ)ρ remains bounded for some finite ρ, where δ is the distance from the excised radius, then the singularity is said to be of finite exponential order.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 14 , Issue 2 , December 1964 , pp. 137 - 141
Copyright
Copyright © Edinburgh Mathematical Society 1964

References

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