首页|Computing the Barnes G-function and the gamma function in the entire complex plane
Computing the Barnes G-function and the gamma function in the entire complex plane
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
We present an algorithm for generating approximations for the logarithm of Barnes G- function in the half-plane Re(z) >= 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 x 10(-16 )and 3 x 10(-31) in the half-plane Re(z) >= 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. (C) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier
