Global approximation to the Boys functions for vectorized computation
Numerical Analysis
2025-07-09 v2 Numerical Analysis
Abstract
A fast approximation to the Boys functions (related to the lower incomplete gamma function of half-integer parameter) by a single closed-form analytical expression for all argument values have been developed and tested. Besides the exponential function needed anyway for downward recursion, it uses a small number of addition, multiplication, division, and square root operations, and thus is straightforward to vectorize.
Cite
@article{arxiv.2504.07637,
title = {Global approximation to the Boys functions for vectorized computation},
author = {Dimitri N. Laikov},
journal= {arXiv preprint arXiv:2504.07637},
year = {2025}
}
Comments
Boys, Boys, Boys. I'm looking for a good time