What's New
About the Project
19 Elliptic Integrals Legendre’s Integrals 19.3 Graphics

Figure 19.3.4 (See in context.)

Figure 19.3.4: E(ϕ,k) as a function of k2 and sin2ϕ for -1k22, 0sin2ϕ1. If sin2ϕ=1 (k2), then the function reduces to E(k), with value 1 at k2=1. If sin2ϕ=1/k2 (<1), then it has the value kE(1/k)+(k2/k)K(1/k), with limit 1 as k21+: put c=k2 in (19.25.7) and use (19.25.1).
Scale Figure
Cutting Control

Your browser does not support WebGL. Please choose an alternative format for 3D interactive visualization.


Please see Vizualization Help for more details, and Customize to change your choice or for other customizations.