Literature cited
K. Ya. Latysheva, “ The solutions in finite form of homogeneous linear differential equations with polynomial coefficients,” Naukovi Zapiski KDU, Matem. zb., No. 9 (1957).
K. Ya. Latysheva and N. I. Tereshchenko, Lectures on the Analytic Theory of Differential Equations and Their Applications [in Russian], Kiev (1970).
Yu. I. Sikorskii and N. I. Tereshchenko, “On the construction of particular solutions of linear inhomogeneous differential equations in a neighborhood of an irregular singular point,” Ukrain. Matem. Zh.,23, No. 6 (1971).
A. W. Babister, Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations, New York -London (1967).
K. Ya. Latysheva, “Rational particular solutions of inhomogeneous linear differential equations with polynomial coefficients and a polynomial right-hand side,” Naukovi Zapiski KDU, Matem. zb., No, 5 (1951).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 558–563, July–August, 1973.
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Sikorskii, Y.I., Tereshchenko, N.I. On conditions of the existence of closed solutions of a linear inhomogeneous differential equation with polynomial coefficients. Ukr Math J 25, 465–469 (1973). https://doi.org/10.1007/BF01085465
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DOI: https://doi.org/10.1007/BF01085465