CarlsonRD
CarlsonRD[x,y,z]
gives the Carlson's elliptic integral .
Details

- Mathematical function, suitable for both symbolic and numerical manipulation.
- For non-negative arguments,
.
- CarlsonRD[x,y,z] has a branch cut discontinuity at
.
- For certain arguments, CarlsonRD automatically evaluates to exact values.
- CarlsonRD can be evaluated to arbitrary precision.
- CarlsonRD automatically threads over lists.
Examples
open allclose allBasic Examples (3)
Scope (9)
Numerical Evaluation (5)
Specific Values (2)
Function Representations (1)
TraditionalForm formatting:
Applications (2)
Distance along a meridian of the Earth:
Compare with the result of GeoDistance:
Parametrization of a Mylar balloon (two flat sheets of plastic sewn together at their circumference and then inflated):
Wolfram Research (2021), CarlsonRD, Wolfram Language function, https://reference.wolfram.com/language/ref/CarlsonRD.html.
Text
Wolfram Research (2021), CarlsonRD, Wolfram Language function, https://reference.wolfram.com/language/ref/CarlsonRD.html.
CMS
Wolfram Language. 2021. "CarlsonRD." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CarlsonRD.html.
APA
Wolfram Language. (2021). CarlsonRD. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CarlsonRD.html