一致の定理
1. Identity theoremIn complex analysis, a branch of mathematics, the identity theorem for holomorphic functions states: given functions f and g holomorphic on a connected open set D, if f = g on some neighborhood of z that is in D, then f = g on D. Thus a holomorphic function is completely determined by its values on a (possibly quite small) neighborhood in D. This is not true for real-differentiable functions. In comparison, holomorphy, or complex-differentiability, is a much more rigid notion.
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Read “一致の定理” on Japanese Wikipedia
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Read “Identity theorem” on English Wikipedia
Read “一致の定理” on Japanese Wikipedia
Read “Identity theorem” on DBpedia
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