Ath

This function returns the inverse hyperbolic tangent of a specified number.

Syntax

ath(number)

Examples

RESULT=ath(0.5) : # 0.5493061

Comments

This function is only defined in the range ]-1,1[ and it can be calculated by using the following formula:

ath(x)=ln(sqr((1+x)/(1-x)))

where ln is the natural logarithm and sqr the square root function.

The type of result is Double.

Associated errors

Error codeDescription
15Hyperbolic function error: the value given is not in the range ]-1,1[

See also

ach, ash, ch, sh,th, ln, sqr.