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Csch




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.23.21.0481.01









  


  








Input Form





Integrate[E^(p z) Sinh[b z] Csch[c z]^\[Nu], z] == (1/2) (1 - E^(2 c z))^\[Nu] Csch[c z]^\[Nu] ((-(1/(-b + p + c \[Nu]))) E^((-b + p) z) HypergeometricPFQ[ {-(b/(2 c)) + p/(2 c) + \[Nu]/2, \[Nu]}, {1 - b/(2 c) + p/(2 c) + \[Nu]/2}, E^(2 c z)] + (1/(b + p + c \[Nu])) E^((b + p) z) HypergeometricPFQ[ {b/(2 c) + p/(2 c) + \[Nu]/2, \[Nu]}, {1 + b/(2 c) + p/(2 c) + \[Nu]/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