def _F4(self, z):
"""
Calculate integral of function f4 from Hellstrom (1991)
"""
A = self._delta*self._beta1 + self._beta2*self._beta12/self._gamma
C = self._beta1*self._beta + A*self._gamma
S = - (self._beta1*self._gamma + self._beta*A)
denom = (self._beta**2 - self._gamma**2)
F4 = np.exp(self._beta*z) / denom \
* (C*np.cosh(self._gamma*z) + S*np.sinh(self._gamma*z))
return F4
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