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ArcTanh




Mathematica Notation

Traditional Notation









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





Involving csch-1

Involving tanh-1(z)

Involving tan-1(z) and csch-1(1-z2/2z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tanh-1(z1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tanh-1(1/z1/2)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Involving tanh-1((1-z)1/2/(-1-z)1/2) and csch-1(i/z)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Involving tanh-1(z2+1/z21/2) and csch-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 csch-1(1/z)

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

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

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

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

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

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

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