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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 cos and exp > Involving ep zcos(a z) cschv( c z)





http://functions.wolfram.com/01.23.21.0361.01









  


  










Input Form





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










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