Skip to main content
SpringerLink
Log in

Wronskians of solutions of a class of differential equations with polynomial coefficients

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. A. D. Lizarev and V. I. Klenov, “Analytic solutions of a class of equations with polynomial coefficients,” Differents. Uravn.,14, No. 12, 2158–2163 (1978).

    Google Scholar 

  2. A. D. Lizarev, “On solutions of problems in the theory of oscillations and stability of nonhomogeneous elastic and viscoelastic bodies,” Dokl. Akad. Nauk BSSR,26, No. 6, 519–522 (1982).

    Google Scholar 

  3. A. D. Lizarev, “On solutions of problems in the theory of oscillations and stability of current-carrying plates,” Izv. Akad. Nauk ArmSSR, Mekh.,34, No. 4, 89–86 (1981).

    Google Scholar 

  4. A. D. Lizarev, “Free oscillations and stability of annular plates with irregular expansion and contraction,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 5, 136–142 (1982).

    Google Scholar 

  5. A. D. Lizarev and V. P. Kuz'mentsov, “Effect of external friction on the oscillation of rotating discs,” Trenie Iznos,3, No. 2, 249–255 (1982).

    Google Scholar 

  6. A. D. Lizarev, “On differential equations of hypergeometric type,” Mat. Fiz., No. 27, 106–111 (1980).

    Google Scholar 

  7. N. W. McLachlan, Theory and Applications of Mathieu Functions [Russian translation], Moscow (1953).

  8. H. Bateman and A. Erdelyi, Higher Transcendental Functions. Elliptic and Automorphic Functions, Lamé and Mathieu Functions [Russian translation], Nauka, Moscow (1967).

    Google Scholar 

  9. M. Abramovits and I. Stigan (eds.), Handbook on Special Functions [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  10. I. V. Komarov, L. I. Ponomarev, and S. Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  11. J. L. Burchnall, “Differential equations associated with hypergeometric functions,” Quart. J. Math.,13, 90–106 (1942).

    Google Scholar 

  12. M. I. Klyuchantsev, “Singular differential operators with r — 1 parameters and Bessel functions of vector index,” Sib. Mat. Zh.,24, No. 13, 47–62 (1983).

    Google Scholar 

  13. Y. Luke, Special Functions and Their Approximations, 2 vols., Academic Press (1969).

  14. V. S. Adamchik, “Wronskians of differential equations of hypergeometric type,” in: Differential and Integral Equations [in Russian], Kuibyshev (1987), pp. 67–70.

  15. V. K. Dzyadyk, “On the theory of Fuchsian linear equations,” Usp. Mat. Nauk,40, No. 4, 163–164 (1985).

    Google Scholar 

  16. I. V. Dem'yanushko and I. A. Birger, Calculation of Stability of Rotating Discs [in Russian], Moscow (1978).

Download references

Author information

Authors and Affiliations

  1. Belorussian University, USSR

    V. S. Adamchik & A. D. Lizarev

Authors
  1. V. S. Adamchik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. D. Lizarev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp. 694–699, November–December, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Adamchik, V.S., Lizarev, A.D. Wronskians of solutions of a class of differential equations with polynomial coefficients. Ukr Math J 40, 583–587 (1988). https://doi.org/10.1007/BF01057173

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057173

Keywords

Search

Navigation