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ArcSech






Mathematica Notation

Traditional Notation









Elementary Functions >ArcSech[z]





Transformations

Transformations and argument simplifications

Argument involving basic arithmetic operations

Involving sech-1(- z)

Involving sech-1(-z) and sech-1(z)

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Involving sech-1(cz)

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

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

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

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

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

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

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

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

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

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

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Involving sech-1(z2/z2-2)

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

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Involving sech-1(z2/2-z2)

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

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

Involving sech-1(1/(1-z)1/2) and sech-1(1/z1/2)

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Involving sech-1(1/(1-z)1/2) and sech-1(1/z1/2)

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

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

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

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Involving sech-1(21/2/(1+c z)1/2)

Involving sech-1(21/2/(1+z)1/2) and sech-1(1/z)

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Involving sech-1(21/2/(1-z)1/2) and sech-1(1/z)

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Involving sech-1(2/1+c z1/2)

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

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Involving sech-1(2/1-z1/2) and sech-1(1/z)

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

Involving sech-1(z1/2/(z-1)1/2) and sech-1(z1/2)

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

Involving sech-1((-z)1/2/(1-z)1/2) and sech-1(z1/2)

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

Involving sech-1(z/z-11/2) and sech-1(z1/2)

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

Involving sech-1((2z)1/2/(z-1)1/2) and sech-1(z)

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Involving sech-1((2z)1/2/(z+1)1/2) and sech-1(z)

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

Involving sech-1((-2z)1/2/(-z-1)1/2) and sech-1(z)

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Involving sech-1((-2z)1/2/(1-z)1/2) and sech-1(z)

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Involving sech-1(2z/z+a1/2)

Involving sech-1(2z/z-11/2) and sech-1(z)

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Involving sech-1(2z/z+11/2) and sech-1(z)

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

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

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

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

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

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

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

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

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

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

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

Involving sech-1(z2/z2-11/2) and sech-1(z)

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

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

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

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

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Involving sech-1(21/2/(1-(1+c z2)1/2)1/2)

Involving sech-1(21/2/(1-(1+z2)1/2)1/2) and sech-1(i/z)

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Involving sech-1(21/2/(1-(1-z2)1/2)1/2) and sech-1(1/z)

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Involving sech-1((2/(1-(1+c z2)1/2))1/2)

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

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

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

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

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

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

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

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

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

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

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Products, sums, and powers of the direct function

Sums of the direct function

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Differences of the direct function

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Linear combinations of the direct function

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Related transformations

Sums involving the direct function

Involving log(z)

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Involving sin-1(z)

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Involving cos-1(z)

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Involving tan-1(z)

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Involving cot-1(z)

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Involving csc-1(z)

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Involving sec-1(z)

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Involving sinh-1(z)

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Involving cosh-1(z)

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Involving tanh-1(z)

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Involving coth-1(z)

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Involving csch-1(z)

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Differences involving the direct function

Involving log(z)

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Involving sin-1(z)

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Involving cos-1(z)

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Involving tan-1(z)

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Involving cot-1(z)

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Involving csc-1(z)

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Involving sec-1(z)

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Involving sinh-1(z)

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Involving cosh-1(z)

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Involving tanh-1(z)

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Involving coth-1(z)

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Involving csch-1(z)

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Linear combinations involving the direct function

Involving log(z)

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Involving sin-1(z)

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Involving cos-1(z)

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Involving tan-1(z)

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Involving cot-1(z)

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Involving csc-1(z)

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Involving sinh-1(z)

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Involving cosh-1(z)

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Involving tanh-1(z)

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Involving coth-1(z)

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Involving csch-1(z)

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