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Csch






Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving powers of cos and exp > Involving ep z cosm(b z)





http://functions.wolfram.com/01.23.21.0064.01









  


  










Input Form





Integrate[E^(p z) Cos[b z]^m Csch[c z], z] == 2^(1 - m) E^((c + p) z) Binomial[m, m/2] (-1 + Mod[m, 2]) (HypergeometricPFQ[{(p + c)/(2 c), 1}, {1 + (p + c)/(2 c)}, E^(2 c z)]/ (p + c)) - 2^(1 - m) E^(c z) Sum[Binomial[m, s] ((E^((p + I b (m - 2 s)) z) HypergeometricPFQ[ {(I b (m - 2 s) + p + c)/(2 c), 1}, {1 + (I b (m - 2 s) + p + c)/(2 c)}, E^(2 c z)])/ (p + I b (m - 2 s) + c) + (E^((p - I b (m - 2 s)) z) HypergeometricPFQ[{(p - I b (m - 2 s) + c)/(2 c), 1}, {1 + (p - I b (m - 2 s) + c)/(2 c)}, E^(2 c z)])/ (p - I b (m - 2 s) + c)), {s, 0, Floor[(1/2) (-1 + m)]}] /; Element[m, Integers] && m > 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