BarnesDoubleGamma

This Julia package exports functions log_barnesgamma, barnesgamma that compute the values of the Barne's double gamma function as defined in arXiv:2208.13879. It also exports the related functions log_gamma2, gamma2, log_doublegamma, double_gamma, corresponding to the $\Gamma_2$ and $\Gamma_b$ functions of this wikipedia article.

All of these functions are available for real or complex argument, in standard or multiple precision (using BigFloat and Complex{BigFloat} arguments)

The package also exports loggamma, gamma, digamma_reg, trigamma, polygamma functions that work for real or complex arguments in standard or multiple precision, by calling the appropriate functions from the SpecialFunctions package, or from the ArbNumerics package.