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DLMF: Figure 19.3.2 ‣ §19.3 Graphics ‣ Legendre’s Integrals ‣ Chapter 19 Elliptic Integrals
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19 Elliptic IntegralsLegendre’s Integrals19.3 Graphics
Figure 19.3.2 (See in context.)
See accompanying text
Figure 19.3.2: RC⁡(x,1) and the Cauchy principal value of RC⁡(x,−1) for 0≤x≤5. Both functions are asymptotic to ln⁡(4⁢x)/4⁢x as x→∞; see (19.2.19) and (19.2.20). Note that RC⁡(x,±y)=y−1/2⁢RC⁡(x/y,±1), y>0.
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