DLMF:

Digital Library of Mathematical Functions

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

Figure 19.17.2 (See in context.)

See accompanying text

Figure 19.17.2: $\mathop{R_{G}\/}\nolimits\!\left(x,y,1\right)$ for $0\leq x\leq 1$ , $y=0,\,0.1,\,0.5,\,1$ .

corresponds to $\frac{1}{2}(\mathop{R_{C}\/}\nolimits\!\left(x,1\right)+\sqrt{x})$ .

Annotations:

Symbols:: $\mathop{R_{C}\/}\nolimits\!\left(x,y\right)$ : Carlson’s combination of inverse circular and inverse hyperbolic functions and $\mathop{R_{G}\/}\nolimits\!\left(x,y,z\right)$ : symmetric elliptic integral of second kind
Permalink:: http://dlmf.nist.gov/19.17.F2.mag
Encodings:: Magnified png, pdf

© 2010–2013 NIST / Privacy Policy / Disclaimer / Feedback; Version 1.0.6; Release date 2013-05-06 Math-Image version (See MathML) . A Printed Companionis available. 19.17 Graphics 19.18 Derivatives and Differential Equations