Digital Library of Mathematical 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+π r-π π -π -r+π -r-π -r
w 1 r -r+0 -r-0 -1+0 -1-0 --r+0 --r-0 -r
Figure 4.3.2: Conformal mapping of exponential and logarithm. w=z, z=lnw.