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Analytic functions of the roots of polynomials and their properties: Representation of the roots of polynomials using Km l i-functions

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Literature cited

  1. Hermite, “Sur la resolution de léguation du cinquiéme deré,” Comptes Rendus,46, 508–516 (1858).

    Google Scholar 

  2. J. Kampé de Fériet, R. Campbell, G. Petiau, and T. Vogel, Functions of Mathematical Physics [Russian translation], IL, Moscow (1963).

    Google Scholar 

  3. F. G. Kravchenko, “Analytical methods of indicating the roots of polynomials,” Thesis [in Ukrainian], Notification communicated to the department scientific reports session of the Kamenets-Podol'skii State Pedagogical Institute, 1962, Kamenets-Podol'skii (1963).

  4. E. Goursat, Course in Mathematical Analysis [Russian translation], Vol. 2, GONTI Moscow-Leningrad (1936).

    Google Scholar 

  5. A. I. Markushevich, Theory of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

    Google Scholar 

  6. B. A. Fuchs, Introduction to the Theory of Analytic Functions of Several Complex Variables [Russian translation], Fizmatgiz, Moscow (1962).

    Google Scholar 

  7. F. G. Kravchenko, “Some properties of Km l i-functions of several parameters. Reduction of Kmli-functions of several parameters to elementary Kml -functions,” Thesis [in Ukrainian], Communicated for publication to the department scientific reports session of the Kamenets-Podol'skii State Pedagogical Institute, 1964, Kamenets-Podol'skii (1965).

  8. H. A. Schwarz, “Über diejenigen Felle, in welchen die Gaussische hypergeometrische Reihe eine algebraische Funktion ihres vierten Elementes darstellt,” Ges. Abth.,2, 172–211 (1871).

    Google Scholar 

  9. F. Klein, Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen von fünften Grade (1884).

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Authors and Affiliations

  1. Kamenets-Podol'skii Pedagogical Institute, USSR

    F. G. Kravchenko

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  1. F. G. Kravchenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.21, No. 6, pp. 768–780, November–December, 1969.

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Kravchenko, F.G. Analytic functions of the roots of polynomials and their properties: Representation of the roots of polynomials using Km l i-functions. Ukr Math J 21, 639–649 (1969). https://doi.org/10.1007/BF01085193

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  • DOI: https://doi.org/10.1007/BF01085193

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