Geodesic
On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 251-261

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We consider the problem of obtaining asymptotics for solutions of differential operators in a neighborhood of an irregular singular point; more precisely, the construction of uniform asymptotics for solutions of linear differential equations with second-order meromorphic coefficients in a neighborhood of a singular point. Examples are also given that confirm the relevance of the results obtained in the theory of equations of mathematical physics.
Keywords: Second-order differential operator, singular points.
Mots-clés : meromorphic coefficients 
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     title = {On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points},
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M. V. Korovina; H. A. Matevossian. On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 251-261. http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a26/