Digital Library of Mathematical Functions
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23 Weierstrass Elliptic and Modular FunctionsModular Functions

§23.16 Graphics

See Figures 23.16.123.16.3 for the modular functions λ, J, and η. In Figures 23.16.2 and 23.16.3, height corresponds to the absolute value of the function and color to the phase. See also About Color Map.

See accompanying text
Figure 23.16.1: Modular functions λ(y), J(y), η(y) for 0y3. See also Figure 20.3.2. Magnify
Figure 23.16.2: Elliptic modular function λ(x+y) for -0.25x0.25, 0.005y0.1. Magnify
Figure 23.16.3: Dedekind’s eta function η(x+y) for -0.0625x0.0625, 0.0001y0.07. Magnify