A generalization of the Hurwitz composition theorem to irregular power series
Published online by Cambridge University Press: 24 October 2008
Extract
When two functions are given, each with a finite radius of convergence, a theorem due independently to Hurwitz and Pincherle (1, 2) provides information about the position of the singularities of the function
in terms of the positions of the singularities of f(z) and g(z).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 3 , July 1951 , pp. 477 - 482
- Copyright
- Copyright © Cambridge Philosophical Society 1951
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