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- W3202616273 abstract "We present an algorithm for generating approximations for the logarithm of Barnes $G$-function in the half-plane ${textrm{Re}}(z)ge 3/2$. These approximations involve only elementary functions and are easy to implement. The algorithm is based on a two-point Pade approximation and we use it to provide two approximations to $ln(G(z))$, accurate to $3 times 10^{-16}$ and $3 times 10^{-31}$ in the half-plane ${textrm{Re}}(z)ge 3/2$; a reflection formula is then used to compute Barnes $G$-function in the entire complex plane. A by-product of our algorithm is that it also produces accurate approximations to the gamma function." @default.
- W3202616273 created "2021-10-11" @default.
- W3202616273 creator A5001547863 @default.
- W3202616273 date "2021-09-24" @default.
- W3202616273 modified "2023-09-27" @default.
- W3202616273 title "Computing the Barnes G-function in the entire complex plane." @default.
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