The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 317-358
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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).
Hayman, W. K. The Local Growth of Power Series: A Survey of the Wiman-Valiron Method. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 317-358. doi: 10.4153/CMB-1974-064-0
@article{10_4153_CMB_1974_064_0,
author = {Hayman, W. K.},
title = {The {Local} {Growth} of {Power} {Series:} {A} {Survey} of the {Wiman-Valiron} {Method}},
journal = {Canadian mathematical bulletin},
pages = {317--358},
year = {1974},
volume = {17},
number = {3},
doi = {10.4153/CMB-1974-064-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-064-0/}
}
TY - JOUR AU - Hayman, W. K. TI - The Local Growth of Power Series: A Survey of the Wiman-Valiron Method JO - Canadian mathematical bulletin PY - 1974 SP - 317 EP - 358 VL - 17 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-064-0/ DO - 10.4153/CMB-1974-064-0 ID - 10_4153_CMB_1974_064_0 ER -
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