Logarithmic Integrals of Airy Functions

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.

References in corpus (1)

• The role of binomial type sequences in determination identities for Bell polynomials