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Inverse hyperbolic tangent



Y = atanh(X) returns the inverse hyperbolic tangent of the elements of X. The function accepts both real and complex inputs. All angles are in radians.


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Find the inverse hyperbolic tangent of the elements of vector X. The atanh function acts on X element-wise.

X = [2 -3 1+2i];
Y = atanh(X)
Y = 1×3 complex

   0.5493 + 1.5708i  -0.3466 - 1.5708i   0.1733 + 1.1781i

Plot the inverse hyperbolic tangent function over the interval -1<x<1.

x = -0.99:0.01:0.99; 
grid on

Input Arguments

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Hyperbolic tangent of angle, specified as a scalar, vector, matrix, multidimensional array, table, or timetable. The atanh operation is element-wise when X is nonscalar.

Data Types: single | double | table | timetable
Complex Number Support: Yes

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

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Version History

Introduced before R2006a

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See Also

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