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The Valence of Sums and Products
Published online by Cambridge University Press: 20 November 2018
Extract
A function ƒ(z) is said to be p-valent in a region if it is regular in if the equation
1
has p distinct roots in for some particular w0 , and if for each complex w0 , equation (1) does not have more than p roots in . The function ƒ(z) is also said to have valence p in . In the case when p = 1, the function is said to be univalent in .
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- Copyright © Canadian Mathematical Society 1968
Footnotes
This work was supported by the National Science Foundation, Research Grant GP-5689.
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