Logarithmic Integrals of Airy Functions

2012/11/04 by Bernard J. Laurenzi, Laurenzi, Bernard J.
Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Inequalities and Applications #Mathematical Physics (math-ph) #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1211.0705

openalex publication_date 2012/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

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