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DLMF: §23.16 Graphics ‣ Modular Functions ‣ Chapter 23 Weierstrass Elliptic and Modular Functions

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23 Weierstrass Elliptic and Modular Functions Modular Functions 23.15 Definitions 23.17 Elementary Properties

§23.16 Graphics

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Keywords:: graphics, modular functions
Notes:: These graphics were produced at NIST.
Permalink:: http://dlmf.nist.gov/23.16
See also:: Annotations for Ch.23

See Figures 23.16.1–23.16.3 for the modular functions $\lambda$ , $J$ , and $\eta$ . 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 $\lambda\left(iy\right)$ , $J\left(iy\right)$ , $\eta\left(iy\right)$ for $0\leq y\leq 3$ . See also Figure 20.3.2. Magnify

See accompanying text — Figure 23.16.2: Elliptic modular function $\lambda\left(x+iy\right)$ for $-0.25\leq x\leq 0.25$ , $0.005\leq y\leq 0.1$ . Magnify 3D Help

See accompanying text — Figure 23.16.2: Elliptic modular function $\lambda\left(x+iy\right)$ for $-0.25\leq x\leq 0.25$ , $0.005\leq y\leq 0.1$ . Magnify 3D Help

23.15 Definitions 23.17 Elementary Properties

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