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DLMF: Figure 4.3.2 ‣ §4.3 Graphics ‣ Logarithm, Exponential, Powers ‣ Chapter 4 Elementary Functions
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4 Elementary FunctionsLogarithm, Exponential, Powers4.3 Graphics
Figure 4.3.2 (See in context.)
See accompanying text
(i) z-plane (ii) w-plane
A B C C¯ D D¯ E E¯ F
z 0 r r+i⁢π r−i⁢π i⁢π −i⁢π −r+i⁢π −r−i⁢π −r
w 1 er −er+i⁢0 −er−i⁢0 −1+i⁢0 −1−i⁢0 −e−r+i⁢0 −e−r−i⁢0 e−r
Figure 4.3.2: Conformal mapping of exponential and logarithm. w=ez, z=ln⁡w.
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