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1987 | ReviewPaper | Buchkapitel

Uniform computational complexity of Taylor series

verfasst von : N.Th. Müller

Erschienen in: Automata, Languages and Programming

Verlag: Springer Berlin Heidelberg

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The close connection between an analytic real function and its Taylor series is studied in terms of computational complexity. As central result, the function is computable in polynomial time if and only if the coefficients of the series are uniformly computable in polynomial time. In consequence, integration and analytic continuation of polynomial time computable analytic functions again lead to polynomial time computable functions.

Metadaten
Titel
Uniform computational complexity of Taylor series
verfasst von
N.Th. Müller
Copyright-Jahr
1987
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/3-540-18088-5_37