def _f4(self, z):
"""
Calculate function f4 from Hellstrom (1991)
"""
A = self._delta*self._beta1 + self._beta2*self._beta12/self._gamma
f4 = np.exp(self._beta*z) \
* (self._beta1*np.cosh(self._gamma*z) - A*np.sinh(self._gamma*z))
return f4
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