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arxiv: 1211.0705 · v1 · pith:HJEQW3KTnew · submitted 2012-11-04 · 🧮 math-ph · math.CA· math.MP

Logarithmic Integrals of Airy Functions

classification 🧮 math-ph math.CAmath.MP
keywords integralsairyfunctionstheoryarisingatomicbeenbell
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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.

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