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Titlebook: Complex Analysis; Serge Lang Textbook 1999Latest edition Springer Science+Business Media New York 1999 Cauchy‘s integral formula.Complex a

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Veronika Kourabas,Paul Mecherilumbers. We come back to analysis. We shall give various applications of the fact that the derivative of an analytic function can be expressed as an integral. This is completely different from real analysis, where the derivative of a real function often is less differentiable than the function itself
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https://doi.org/10.1007/978-3-662-68735-2 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
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0072-5285 ne to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the p978-1-4419-3135-1978-1-4757-3083-8Series ISSN 0072-5285 Series E-ISSN 2197-5612
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Textbook 1999Latest editionts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the p
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Power Seriesrincipal ways will be by means of power series. Thus we shall see that the series . converges for all . to define a function which is equal to ... Similarly, we shall extend the values of sin . and cos . by their usual series to complex valued functions of a complex variable, and we shall see that t
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