Geodesic
Bell polynomials in the Mathematica system and asymptotic solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 446-456 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the possibility of solving functional equations that arise when integrating homogeneous integral Fredholm equations of the second kind with a highly oscillatory kernel by using Bell polynomials. We review different types and properties of Bell polynomials. The focus of this paper is to promote using tools in the Bell polynomial package in the Mathematica system to solve certain problems in electrodynamics.
Keywords: asymptotic form of eigenfunctions of integral Fredholm equations, nonlinear functional equation, linear functional equation, saddle-point method, Kolmogorov–Arnold–Moser (KAM) theory, generalized Bell polynomial, Mathematica system.
Mots-clés : Bell polynomial, partial Bell polynomial 
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O. I. Marichev; S. Yu. Slavyanov; Yu. A. Brychkov. Bell polynomials in the Mathematica system and asymptotic solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 201 (2019) no. 3, pp. 446-456. http://geodesic.mathdoc.fr/item/TMF_2019_201_3_a10/

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