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Csch




Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic, exponential and a power functions > Involving tanh, exp and power > Involving zn ep ztanh(c z) csch( c z)





http://functions.wolfram.com/01.23.21.0238.01









  


  








Input Form





Integrate[(z^n Tanh[c z] Csch[c z])/E^(c z), z] == (2 z^(1 + n))/(1 + n) - 2 E^(2 c z) n! Sum[(1/(-j + n)!) (-1)^j 2^(-1 - j) c^(-1 - j) z^(-j + n) HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, j + 2]}, {1 + Subscript[a, 1], \[Ellipsis], 1 + Subscript[a, j + 1]}, -E^(2 c z)], {j, 0, n}] /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, n + 2] == 1 && Element[n, Integers] && n >= 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18