Skip to main content
SpringerLink
Log in

A Method for the Regularization of One Class of Dual Series Equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We propose a method for the regularization of one class of systems of dual series equations to which numerous problems in theoretical and mathematical physics are reduced.

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. Z. S. Agranovich, V. A. Marchenko, and V. P. Shestopalov, “Diffraction of electromagnetic waves by plane metallic gratings,” Zh. Tekhn. Fiz., 32, No. 4, 381–394 (1962).

    Google Scholar 

  2. N. I. Muskhelishvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  3. F. Pollaczek, “Surune generalisation des polynomes de Legendre,” C. R. Acad. Sci., 228, 1363–1365 (1949).

    Google Scholar 

  4. V. V. Khoroshun, “Diffraction of plane electromagnetic waves by a metallic grating with gyromagnetic medium,” Radiotekhn., Issue 4, 20–25 (1967).

  5. G. Szegö, Orthogonal Polynomials, American Mathematical Society, New York (1959).

    Google Scholar 

  6. V. V. Khoroshun, “On the theory of generalized Legendre polynomials,” Ukr. Mat. Zh., 23, No. 6, 837–839 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Radiophysics and Electronics, Ukrainian Academy of Sciences, Kharkov

    A. V. Brovenko, P. N. Melezhik & A. E. Poedinchuk

Authors
  1. A. V. Brovenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. N. Melezhik
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. E. Poedinchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brovenko, A.V., Melezhik, P.N. & Poedinchuk, A.E. A Method for the Regularization of One Class of Dual Series Equations. Ukrainian Mathematical Journal 53, 1597–1606 (2001). https://doi.org/10.1023/A:1015283624714

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1015283624714

Keywords

Search

Navigation