符合规定 发表于 2025-3-28 16:48:45
Schwarz Reflection on . ⋃ .. The process of extending . in this way is called .. If ., . are connected, and have in common an infinite set of points which have a point of accumulation in ., then an analytic continuation of . to . is uniquely determined. Indeed, if . analytic on . and . on ., then . the only such func痛得哭了 发表于 2025-3-28 21:03:00
Analytic Continuation Along Curveslowing context. Suppose we are given an analytic function . of an open connected set .. Let . be open and connected, and suppose that . ∩ . is not empty, so is open. We ask whether there exists an analytic function . on . such that . = . on . ∩ ., or only such that .(.) = .(.) for all . in some setAnhydrous 发表于 2025-3-29 02:32:31
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Applications of Cauchy’s Integral Formula. In complex analysis, one can exploit the phenomenon in various ways. For instance, in real analysis, a uniform limit of a sequence of differentiable functions may be only continuous. However, in complex analysis, we shall see that a uniform limit of analytic functions is analytic.缩减了 发表于 2025-3-29 14:01:13
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