Global approximation to the Boys functions for vectorized computation
arXiv:2504.07637 · doi:10.1063/5.0275063
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.
Boys, Boys, Boys. I'm looking for a good time