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On the construction of particular solutions of linear inhomogeneous differential equations in a neighborhood of an irregular singular point

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Literature cited

  1. A. W. Babister, Transcendental Functions Satisfying Nonhomogeneous Linear Differential Equations, New York-London (1967).

  2. K. Ya. Latysheva, “Rational particular solutions of inhomogeneous linear differential equations with polynomial coefficients and polynomial right-hand side”, Matem. Sb., No. 5, Izd. KGU (1951).

  3. Yu. G. Sikorskii, “The integration of inhomogeneous Bessel equations”, Visnik Kiev Univ., Ser. Matem. ta Mekh., No. 12 (1970).

  4. Yu. G. Sikorskii and N. I. Tereshchenko, “On a method of finding particular solutions of inhomogeneous Bessel and Legendre equations”, Matem. Fiz., No. 9, Naukova Dumka, Kiev (1971).

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  5. K. Ya. Latysheva and N. I. Tereshchenko, Lectures on the Analytic Theory of Differential Equations and Their Applications [in Russian], Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev (1970).

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  6. K. Ya. Latysheva, “On normal series as solutions of linear differential equations of any rank,” Matem. Sb., No. 7, Izd. KGU (1953).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 6, pp. 807–812, November–December, 1971.

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Sikorskii, Y.I., Tereshchenko, N.I. On the construction of particular solutions of linear inhomogeneous differential equations in a neighborhood of an irregular singular point. Ukr Math J 23, 661–665 (1971). https://doi.org/10.1007/BF01085094

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  • DOI: https://doi.org/10.1007/BF01085094

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