Digital Library of Mathematical Functions
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22 Jacobian Elliptic FunctionsProperties22.16 Related Functions

Figure 22.16.2 (See in context.)

See accompanying text
Figure 22.16.2: Jacobi’s epsilon function \mathop{\mathcal{E}\/}\nolimits\!\left(x,k\right) for 0\leq x\leq 10\pi and k=0.4,0.7,0.99,0.999999. (These graphs are similar to those in Figure 22.16.1; compare (22.16.3), (22.16.17), and the graphs of \mathop{\mathrm{dn}\/}\nolimits\left(x,k\right) in §22.3(i).)