Digital Library of Mathematical Functions
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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 0x5. Both functions are asymptotic to ln(4x)/4x as x; see (19.2.19) and (19.2.20). Note that RC(x,±y)=y-1/2RC(x/y,±1), y>0.