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Titlebook: An Introduction to Classical Complex Analysis; Vol. 1 Robert B. Burckel Book 1979 Birkhäuser Verlag Basel 1979 Complex analysis.Convexity.D

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https://doi.org/10.1007/978-3-662-28908-2on always produces such primitives. In particular, every continuous function on R has a primitive. [We will see that this is not so for continuous functions on regions in ℂ.] Naturally we look to integration to produce primitives in the plane too. But now we must face the fact that integration can b
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Maschinenanlagen auf Schwimmbaggern,pproximated by Riemann sums, we get global rational approximations to the function. (See 8.8 below.) If further the domains are properly disposed in ℂ, the “poles” in these rational functions can be “shoved to infinity” and the rational functions thereby approximated by polynomials. Global polynomia
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https://doi.org/10.1007/978-3-642-92852-9he values 0 or 1, then . is bounded in .(0, .) by a bound depending on r and ∣.(0)∣ only, for each . < 1. [In fact we prove a generalization in which . does not assume 0 and .(.) (for some . > 0) does not assume 1.] The principal application is the almost immediate fact that a family of holomorphic
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Overview: 978-3-0348-9376-3978-3-0348-9374-9
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