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ArcTanh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTanh[z] > Representations through equivalent functions > With related functions





Involving cosh-1

Involving tanh-1(z)

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

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

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

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

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

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

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

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

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

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Involving tanh-1(z) and cosh-1(z2/z2-11/2)

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Involving tanh-1(z) and cosh-1(((1-z2)1/2+1)1/2/(21/2(1-z2)1/4))

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Involving tanh-1(z) and cosh-1(((1-z2)1/2-1)1/2/(21/2(1-z2)1/4))

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

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

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Involving tanh-1(z) and cosh-1(((z2-1)1/2+z)1/2/(21/2(z2-1)1/4))

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Involving tanh-1(z) and cosh-1(((z2-1)1/2-z)1/2/(21/2(z2-1)1/4))

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

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

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Involving tanh-1(z1/2)

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

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

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

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

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

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

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

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

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Involving tanh-1(z1/2) and cosh-1(z/z-11/2)

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Involving tanh-1(z1/2) and cosh-1(((1-z)1/2+1)1/2/(21/2(1-z)1/4))

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Involving tanh-1(z1/2) and cosh-1(((1-z)1/2-1)1/2/(21/2(1-z)1/4))

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

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

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Involving tanh-1(z1/2) and cosh-1(((1-z)1/2+(-z)1/2)1/2/(21/2(1-z)1/4))

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Involving tanh-1(z1/2) and cosh-1(((1-z)1/2-(-z)1/2)1/2/(21/2(1-z)1/4))

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

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

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Involving tanh-1(1/z1/2)

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

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

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

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

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

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

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

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

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Involving tanh-1(1/z1/2) and cosh-1(z/z-11/2)

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Involving tanh-1(1/z1/2) and cosh-1(((1-z)1/2+1)1/2/(21/2(1-z)1/4))

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Involving tanh-1(1/z1/2) and cosh-1(((1-z)1/2-1)1/2/(21/2(1-z)1/4))

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

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

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Involving tanh-1(1/z1/2) and cosh-1(((1-z)1/2+(-z)1/2)1/2/(21/2(1-z)1/4))

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Involving tanh-1(1/z1/2) and cosh-1(((1-z)1/2-(-z)1/2)1/2/(21/2(1-z)1/4))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tanh-1(z/z-11/2)

Involving tanh-1(z/z-11/2) and cosh-1(z1/2)

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

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

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

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

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

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

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Involving tanh-1(z-a/z+a1/2)

Involving tanh-1(z+1/z-11/2) and cosh-1(z)

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Involving tanh-1(z-1/z+11/2) and cosh-1(z)

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

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

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

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

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

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

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Involving tanh-1(z1-z2/z21/2)

Involving tanh-1(z1-z2/z21/2) and cosh-1(1/z)

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

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

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

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

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

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

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Involving tanh-1(z2/z2-11/2)

Involving tanh-1(z2/z2-11/2) and cosh-1(z)

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

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

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

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

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

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

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Involving tanh-1(z2-1/z21/2)

Involving tanh-1(z2-1/z21/2) and cosh-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 cosh-1(i z)

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

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

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

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

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

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

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

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

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

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

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

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

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