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Detection of Singular Points

Published online by Cambridge University Press:  20 November 2018

V. F. Cowling  and
J. P. King
V. F. Cowling
Affiliation:
Suny at Albany, Lehigh University
J. P. King
Affiliation:
Suny at Albany, Lehigh University
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Abstract

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A theorem is proved which gives a new test for singular points on the circle of convergence of the function f(z) defined by a power series ∑anzn finite non-zero radius of convergence.

Keywords

30B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 4 , 01 December 1982 , pp. 496 - 497
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Hartmann, F. W., Summability tests for singular prints, Canad. Math. Bull. 15 (1972), 525-528.Google Scholar
2. King, J. P., Tests for singular points, Amer. Math. Monthly 72 (1965), 870-873.Google Scholar
3. Titchmarsh, E. C., The Theory of Functions, Oxford, London (1952).Google Scholar