def _f5(self, z):
"""
Calculate function f5 from Hellstrom (1991)
"""
B = self._delta*self._beta2 + self._beta1*self._beta12/self._gamma
f5 = np.exp(self._beta*z) \
* (self._beta2*np.cosh(self._gamma*z) + B*np.sinh(self._gamma*z))
return f5
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