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Csch






Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving functions of the direct function, trigonometric and exponential functions > Involving powers of the direct function, trigonometric and exponential functions > Involving sin and exp > Involving ep z sin(a z) cschv( c z)





http://functions.wolfram.com/01.23.21.0358.01









  


  










Input Form





Integrate[E^((I a - c \[Nu]) z) Sin[a z] Csch[c z]^\[Nu], z] == (1/2) (1 - E^(2 c z))^\[Nu] Csch[c z]^\[Nu] ((I z)/E^(c z \[Nu]) - (1/(2 a)) E^(z (2 I a - c \[Nu])) HypergeometricPFQ[{(I a)/c, \[Nu]}, {1 + (I a)/c}, E^(2 c z)] + (I/(2 c)) E^(c z (2 - \[Nu])) \[Nu] HypergeometricPFQ[{1, 1, 1 + \[Nu]}, {2, 2}, E^(2 c z)])










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