Skip to main content
SpringerLink
Log in

Degeneration of Heun equation solutions under fusion of singularities

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

Limiting transitions are considered in the process of the degeneration of the Heun equations. We show that eigenfunctions of the Heun equation are mapped into eigenfunctions of the degenerate Heun equation.

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

Similar content being viewed by others

References

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

    Google Scholar 

  2. S. Chandrasekhar,The Mathematical Theory of Black Holes, Oxford University, Oxford-New York (1983).

    MATH  Google Scholar 

  3. A. Ya. Kazakov and S. Yu. Slavyanov,Theor. Math. Phys.,107, 732–738 (1996).

    Article  MathSciNet  Google Scholar 

  4. A. Seeger, W. Lay, and S. Yu. Slavyanov,Theor. Math. Phys.,104, 950–960 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  5. W. Lay,Theor. Math. Phys.,101, 1413–1418 (1994).

    Article  MATH  MathSciNet  Google Scholar 

  6. A. Ronveaux,Heun’s Differential Equation, Oxford University, Oxford (1995).

    Google Scholar 

  7. A. Erdélyi et al. (eds.),Higher Transcendental Functions (based on notes left by H. Bateman), McGraw-Hill, New York (1953).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State Academy of Aero-Space Equipment Construction, USA

    N. A. Veshev

Authors
  1. N. A. Veshev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 110, No. 2, pp. 228–232, February, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Veshev, N.A. Degeneration of Heun equation solutions under fusion of singularities. Theor Math Phys 110, 179–182 (1997). https://doi.org/10.1007/BF02630443

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02630443

Keywords

Search

Navigation