Aquileo | DLMF: Figure 19.17.3 ‣ §19.17 Graphics ‣ Symmetric Integrals ‣ Chapter 19 Elliptic Integrals

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19 Elliptic Integrals Symmetric Integrals 19.17 Graphics 19.17 Graphics 19.18 Derivatives and Differential Equations

Figure 19.17.3 (See in context.)

See accompanying text

Figure 19.17.3: $R_{D}\left(x,y,1\right)$ for $0\leq x\leq 2$ , $y=0,\,0.1,\,1,\,5,\,25$ .

corresponds to $\frac{3}{2}(R_{C}\left(x,1\right)-\sqrt{x})/(1-x)$ , $x\neq 1$ .

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Annotations:

Symbols:: $R_{C}\left(\NVar{x},\NVar{y}\right)$ : Carlson’s combination of inverse circular and inverse hyperbolic functions and $R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)$ : elliptic integral symmetric in only two variables
Permalink:: http://dlmf.nist.gov/19.17.F3.mag
Encodings:: Magnified png, pdf
See also:: Annotations for §19.17 and Ch.19

19.17 Graphics 19.18 Derivatives and Differential Equations

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