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

Type: Article

Publication Date: 1974-09-01

Citations: 267

DOI: https://doi.org/10.4153/cmb-1974-064-0

Abstract

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 ).

Locations

  • Canadian Mathematical Bulletin - View - PDF
  • CiteSeer X (The Pennsylvania State University) - View - PDF

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