Integrals containing the logarithm of the Airy Function Ai'(x)
Bernard J. Laurenzi
TL;DR
This paper derives analytical expressions for integrals involving the logarithm of the Airy function Ai'(x), which are relevant in Thomas-Fermi theory.
Contribution
It provides new analytical solutions for integrals with the logarithm of Ai'(x), advancing mathematical tools in quantum and atomic physics.
Findings
Analytical expressions for integrals involving log Ai'(x)
Applications in Thomas-Fermi theory
Enhanced mathematical understanding of Airy function integrals
Abstract
Integrals occurring in Thomas-Fermi theory which contains the logarithm of the Airy function Ai'(x) have been obtained in terms of analytical expressions.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematical functions and polynomials · Advanced Differential Geometry Research