Abstract
Solutions in the form of the product of powers are found for second-order differential equations of the Fuchs type. Necessary and sufficient conditions are formulated for the existence of such solutions.
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References
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Kruglov, V.E., Solution of a second-order linear differential equation with polynomial coefficients and Fuchsian point at zero, Differ. Equations, 2011, vol. 47, no. 1, pp. 20–28.
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Original Russian Text © V.E. Kruglov, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 2, pp. 273–276.
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Kruglov, V.E. On solutions in the form of product of powers for second-order differential equations of the Fuchs type. Diff Equat 53, 273–276 (2017). https://doi.org/10.1134/S0012266117020136
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DOI: https://doi.org/10.1134/S0012266117020136