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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+iπ r-iπ iπ -iπ -r+iπ -r-iπ -r
w 1 er -er+i0 -er-i0 -1+i0 -1-i0 -e-r+i0 -e-r-i0 e-r
Figure 4.3.2: Conformal mapping of exponential and logarithm. w=ez, z=lnw.