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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic, exponential and trigonometric functions > Involving cos, csch and exp > Involving ep zcos(a z)csch(c z) sech( c z)





http://functions.wolfram.com/01.24.21.0265.01









  


  










Input Form





Integrate[E^(p z) Cos[a z] Csch[c z] Sech[c z], z] == (2 ((1/(I a - 2 c + p)) (E^((I a + p) z) HypergeometricPFQ[ {1, 1/2 - (I a)/(4 c) - p/(4 c)}, {3/2 - (I a)/(4 c) - p/(4 c)}, E^(-4 c z)]) + (1/((-I) a - 2 c + p)) (E^(((-I) a + p) z) HypergeometricPFQ[{1, 1/2 + (I a)/(4 c) - p/(4 c)}, {3/2 + (I a)/(4 c) - p/(4 c)}, E^(-4 c z)])))/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





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