Equivalence in AR of an integrodifferential operator of a certain form and the Euler operator

  • M. S. Eremin
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Keywords

Euler Operator Integrodifferential Operator 
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Literature cited

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    Yu. N. Balitskii, “Functions which are analytic relative to an integrodifferential operator and their applications,” in: Studies in the Contemporary Problems of the Theory of Functions of a Complex Variable [in Russian], Fizmatgiz, Moscow (1961), pp. 499–505.Google Scholar
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    I. I. Ibragimov and I. F. Kushnirchuk, “On the equivalence of Bessel and Euler operators in spaces of functions analytic in a circle,” Dokl. Akad. Nauk SSSR,214, No. 1, 33–36 (1974).Google Scholar
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    I. F. Kushnirchuk and N. I. Nagnibida, “Completeness and the property of being a basis of the solutions of a certain differential equation,” Differents. Uravn.,11, No. 7, 1217–1224 (1975).Google Scholar
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    I. F. Kushnirchuk, “Necessary and sufficient conditions for the equivalence of differential operators having a regular singular point,” Sib. Mat. Zh.,18, No. 2, 340–347 (1977).Google Scholar
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    Ya. N. Gaborak, I. F. Kushnirchuk, and M. I. Ponyuk, “The equivalence of third-order differential operators having a regular singular point,” Sib. Mat. Zh.,19, No. 6, 1254–1259 (1978).Google Scholar
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    V. V. Ryndina, “On the equivalence of an n-th order differential operator having a regular singular point to an Euler operator in the space AR,” Differents. Uravn.,15, No. 4, 636–649 (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • M. S. Eremin
    • 1
  1. 1.Kuibyshev Engineering-Construction InstituteUSSR

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