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ArcTanh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Transformations





Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving tanh-1(- z)

Involving tanh-1(-z) and tanh-1(z)

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Involving tanh-1(1/z)

Involving tanh-1(1/z) and tanh-1(z)

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Involving tanh-1(z1/2)

Involving tanh-1(z1/2) and tanh-1(1/z1/2)

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Involving tanh-1(z1/2) and tanh-1(1/z1/2)

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Involving tanh-1(z1/2) and tanh-1(1/1/z1/2)

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Involving tanh-1(z1/2)

Involving tanh-1(1/z1/2) and tanh-1(z1/2)

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Involving tanh-1((z2)1/2)

Involving tanh-1((z2)1/2) and tanh-1(z)

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Involving tanh-1((z2)1/2) and tanh-1(1/z)

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Involving tanh-1(1/z21/2)

Involving tanh-1(1/z21/2) and tanh-1(z)

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Involving coth-1(1/z21/2) and coth-1(1/z)

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Involving tanh-1(a (b zc)m)

Involving tanh-1(a (b zc)m) and tanh-1(a bm zm c)

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Involving tanh-1(2 z/1+z2)

Involving tanh-1(2 z/1+z2) and tanh-1(z)

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Involving tanh-1(2 z/1+z2) and tanh-1(1/z)

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Involving tanh-1(1+z2/2 z)

Involving tanh-1(1+z2/2 z) and tanh-1(z)

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Involving tanh-1(1+z2/2 z) and tanh-1(1/z)

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Involving tanh-1(2z1/2/1+z)

Involving tanh-1(2z1/2/1+z) and tanh-1(z1/2)

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Involving tanh-1(2z1/2/1+z) and tanh-1(1/z1/2)

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Involving tanh-1(2z1/2/1+z) and tanh-1(1/z1/2)

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Involving tanh-1(1+z/2 z1/2)

Involving tanh-1(1+z/2 z1/2) and tanh-1(z1/2)

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Involving tanh-1(1+z/2 z1/2) and tanh-1(1/z1/2)

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Involving tanh-1(1+z/2 z1/2) and tanh-1(1/z1/2)

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Involving tanh-1((z2-1)1/2+c z)

Involving tanh-1((z2-1)1/2+z) and tanh-1(z)

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Involving tanh-1((z2-1)1/2+z) and tanh-1(1/z)

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Involving tanh-1((z2-1)1/2-z) and tanh-1(z)

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Involving tanh-1((1+z2)1/2-z) and tanh-1(1/z)

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Involving tanh-1(1/(z2-1)1/2+c z)

Involving tanh-1(1/(z2-1)1/2+z) and tanh-1(z)

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Involving tanh-1(1/(z2-1)1/2+z) and tanh-1(1/z)

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Involving tanh-1(1/(z2-1)1/2-z) and tanh-1(z)

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Involving tanh-1(1/(z2-1)1/2-z) and tanh-1(1/z)

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Involving tanh-1((1-z2)1/2+a/z)

Involving tanh-1((1-z2)1/2+1/z) and tanh-1(z)

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Involving tanh-1((1-z2)1/2+1/z) and tanh-1(1/z)

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Involving tanh-1((1-z2)1/2-1/z) and tanh-1(z)

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Involving tanh-1((1-z2)1/2-1/z) and tanh-1(1/z)

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Involving tanh-1(z/(1-z2)1/2+a)

Involving tanh-1(z/(1-z2)1/2+1) and tanh-1(z)

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Involving tanh-1(z/(1-z2)1/2+1) and tanh-1(1/z)

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Involving tanh-1(z/(1-z2)1/2-1) and tanh-1(z)

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Involving tanh-1(z/(1-z2)1/2-1) and tanh-1(1/z)

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