IncompleteEllipticE

A name from the enumeratio catalogue with no kernel of its own yet; this page carries its crosswalk only.

Wolfram's own EllipticE, mapped through for the transpiler and the oracle but not yet written up here.

✓ checked against that system · ! checked, with disagreements (hover a chip)FungrimIncompleteEllipticE✓↗Fungrim entryWolfram LanguageEllipticE!↗

IncompleteEllipticE(...)Wolfram's own EllipticE, mapped through for the transpiler and the oracle but not yet written up here.

Typed signatures

Type	Package	Applies
(number, number) -> number	analytic	always

Domain: Wolfram

Plot

Examples

13 more kept as data, checked against the oracles

Possible issues #

arccsc(0) is ComplexInfinity; the incomplete integral stays symbolic there rather than resolving — Wolfram's own EllipticE[ArcCsc[0],0] answers Indeterminate (shown as NaN).

live ↗

In$\mathrm{IncompleteEllipticE}(\mathrm{arccsc}(0), 0)$Out$\mathrm{EllipticE}(\tilde∞, 0)$

Same as above, shifted by π: arccsc(0) still dominates and the result stays symbolic.

live ↗

In$\mathrm{IncompleteEllipticE}(π+\mathrm{arccsc}(0), 0)$Out$\mathrm{EllipticE}(\tilde∞, 0)$

About

Examples	15
Checked against	Wolfram Language 13 agree2 differSageMath 13 agree2 differSymPy 13 agree2 differmpmath 13 agree2 error
Crosswalk	FungrimFungrim entry ×20Wolfram LanguageSageMathSymPympmath

Implementation

mappedsympypackages/oracle/src/mappings.ts

The second argument is the parameter m = k^2 in both, not the modulus k.

mappedmpmathpackages/oracle/src/mappings.ts

mappedsagepackages/oracle/src/mappings.ts