Function trv::maths::eval_gamma_ratio_asymp#

Function Documentation#

std::complex<double> trv::maths::eval_gamma_ratio_asymp(double mu, std::complex<double> nu)#

Evaluate the logarithm of the ratio of two gamma functions.

The ratio is of the form \( \Gamma\big(\frac{\nu + \mu + 1}{2}\big) \big/ \Gamma\big(\frac{\nu - \mu + 1}{2}\big) \) in the asymptotic limit \( \mu, \nu \to \infty \).

Parameters

  • mu – Real variable.

  • nu – Complex variable.

Returns

Approximate logarithmic ratio.