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

Hayman, W. K.

Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 317-358

Résumé

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).

Détail

DOI : 10.4153/CMB-1974-064-0

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