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http://functions.wolfram.com/01.24.21.0527.01
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Integrate[Sin[a z] Cosh[b z] Sech[c z]^\[Nu], z] ==
(1/4) (1 + E^(2 c z))^\[Nu] ((1/((-I) a - b + c \[Nu]))
(E^((I Pi)/2 + ((-I) a - b) z) HypergeometricPFQ[
{-((I a)/(2 c)) - b/(2 c) + \[Nu]/2, \[Nu]},
{1 - (I a)/(2 c) - b/(2 c) + \[Nu]/2}, -E^(2 c z)]) -
(1/(I a - b + c \[Nu])) (E^((I Pi)/2 + (I a - b) z)
HypergeometricPFQ[{(I a)/(2 c) - b/(2 c) + \[Nu]/2, \[Nu]},
{1 + (I a)/(2 c) - b/(2 c) + \[Nu]/2}, -E^(2 c z)]) -
(1/((-I) a + b + c \[Nu])) (E^(-((I Pi)/2) + ((-I) a + b) z)
HypergeometricPFQ[{-((I a)/(2 c)) + b/(2 c) + \[Nu]/2, \[Nu]},
{1 - (I a)/(2 c) + b/(2 c) + \[Nu]/2}, -E^(2 c z)]) +
(1/(I a + b + c \[Nu])) (E^(-((I Pi)/2) + (I a + b) z)
HypergeometricPFQ[{(I a)/(2 c) + b/(2 c) + \[Nu]/2, \[Nu]},
{1 + (I a)/(2 c) + b/(2 c) + \[Nu]/2}, -E^(2 c z)])) Sech[c z]^\[Nu]
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