nerdamer.atanh(x: ExpressionInput): Expression
Computes the inverse hyperbolic tangent of an expression.
-
`atanh(0) = 0`
- For inputs outside
`(-1, 1)`
or complex inputs, uses the identity
`atanh(z) = (1/2)·ln((1 + z)/(1 − z))`
.
throwsUndefinedError If
`x`
is
`±∞`
or exactly
`1`
.
Parameters
| Name | Type | Description |
|---|
x | ExpressionInput | The input expression (domain `(-1, 1)` for real results). |
Returns
Expression — The inverse hyperbolic tangent of `x`.
Examples
atanh(0).text() // "0"
// Symbolic
atanh('x').text() // "atanh(x)"