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DLMF: Figure 19.3.3 ‣ §19.3 Graphics ‣ Legendre’s Integrals ‣ Chapter 19 Elliptic Integrals
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19 Elliptic IntegralsLegendre’s Integrals19.3 Graphics
Figure 19.3.3 (See in context.) 3D Help
See accompanying text
Figure 19.3.3: F⁡(ϕ,k) as a function of k2 and sin2⁡ϕ for −1≤k2≤2, 0≤sin2⁡ϕ≤1. If sin2⁡ϕ=1 (≥k2), then the function reduces to K⁡(k), becoming infinite when k2=1. If sin2⁡ϕ=1/k2 (<1), then it has the value K⁡(1/k)/k: put c=k2 in (19.25.5) and use (19.25.1). 3D Help
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