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The Local Growth of Power Series: A Survey of the Wiman-Valiron Method

Published online by Cambridge University Press:  20 November 2018

W. K. Hayman
W. K. Hayman*
Affiliation:
Imperial College London Sw 7, England
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Suppose that

1.1

is a transcendental integral function. In this article we develop the theory initiated by Wiman [22, 23] and deepened by other writers including Valiron [18, 19, 20], Saxer [15], Clunie [4, 5] and Kövari [10, 11], which describes the local behaviour of f(z), near a point where | f(z) | is large, in terms of the power seriesf of f(z).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 3 , 01 September 1974 , pp. 317 - 358
Copyright
Copyright © Canadian Mathematical Society 1974

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