Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters

Published: 31 October 2022| Version 1 | DOI: 10.17632/sk34wtcxhh.1


Approximations with Matlab implementations for the relativistic Fermi-Dirac integral and its partial derivatives are given in this paper. As the numerical tests show, the expansions allow to calculate the functions efficiently and with high accuracy for a large range of parameters. Therefore, our algorithms are expected to be a very useful tool, in combination with other methods, for building reliable and efficient software for computing the functions for all the parameters ranges.



Computational Physics, Numerical Approximation, Mathematical Method in Physics