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Inverse hyperbolic tangent


Y = atanh(X)


The atanh function operates element-wise on arrays. The function's domains and ranges include complex values. All angles are in radians.

Y = atanh(X) returns the inverse hyperbolic tangent for each element of X.


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Graph the inverse hyperbolic tangent over the domain -1<x<1.

x = -0.99:0.01:0.99; 
grid on

More About

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Inverse Hyperbolic Tangent

For real values x in the domain 1<x<1, the inverse hyperbolic tangent satisfies


For complex numbers z=x+iy as well as real values in the regions <z<1 and 1<z<, the call atanh(z) returns complex results.

Extended Capabilities

See Also

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Introduced before R2006a