Logarithmic Integrals of Airy Functions
Mathematical Physics
2012-11-06 v1 Classical Analysis and ODEs
math.MP
Abstract
Integrals arising in the Thomas-Fermi (TF) theory of atomic structure and which contain logarithms of the Airy functions have been expressed in terms of the incomplete Bell polynomials. In keeping with the spirit of TF theory closed forms for these integrals are sought.
Keywords
Cite
@article{arxiv.1211.0705,
title = {Logarithmic Integrals of Airy Functions},
author = {Bernard J. Laurenzi},
journal= {arXiv preprint arXiv:1211.0705},
year = {2012}
}