Skip to main content
SpringerLink
Log in

Sommerfeld-Watson summation of perturbation series

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

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. L. N. Lipatov, Zh. Eksp. Teor. Fiz.,72, 411 (1977).

    Google Scholar 

  2. Brezin, J. C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D,15, 1544 (1977).

    Google Scholar 

  3. E. B. Bogomolny, V. A. Fateev, and L. N. Lipatov, “Calculation of high orders of perturbation theory in quantum field theory,” in: Soviet Scientific Reviews, Sec. A. Physics Reviews, Vol. 2 (ed. I. M. Khalatnikov) (1980), pp. 247–393.

  4. G. H. Hardy, Divergent Series, Clarendon Press, Oxford (1949).

    Google Scholar 

  5. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 4, Academic Press, New York (1978).

    Google Scholar 

  6. D. I. Kazakov, O. V. Tarasov, and D. V. Shirkov, Teor. Mat. Fiz.,38, 15 (1979).

    Google Scholar 

  7. L. N. Lipatov, Zh. Eksp. Teor. Fiz.,71, 2010 (1976).

    Google Scholar 

  8. V. S. Popov, V. L. Eletskin, and A. V. Turbiner, Zh. Eksp. Teor. Fiz.,74, 445 (1978).

    Google Scholar 

  9. B. Ya. Levin, Distribution of the Roots of Entire Functions [in Russian], GITTL, Moscow (1956), p. 632.

    Google Scholar 

  10. P. D. B. Collins, An Introduction to Regge Theory and High Energy Physics, CUP, Cambridge (1977).

    Google Scholar 

  11. F. M. Dittes, Yu. A. Kubyshin, and O. V. Tarasov, Teor. Mat. Fiz.,37, 66 (1978).

    Google Scholar 

  12. G. A. Baker (Jr) Essentials of Padé Approximants, Academic Press, New York (1975), p. 306.

    Google Scholar 

  13. G. Lopes, Mat. Sb.,107, 69 (1978).

    Google Scholar 

  14. A. A. Vladimirov, D. I. Kazakov, and O. V. Tarasov, Zh. Eksp. Teor. Fiz.,77, 1035 (1979).

    Google Scholar 

  15. J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett.,39, 95 (1977).

    Google Scholar 

  16. Yu. A. Kubyshin, Teor. Mat. Fiz.,57, 363 (1983).

    Google Scholar 

Download references

Authors
  1. Yu. A. Kubyshin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 58, No. 1, pp. 137–145, January, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kubyshin, Y.A. Sommerfeld-Watson summation of perturbation series. Theor Math Phys 58, 91–97 (1984). https://doi.org/10.1007/BF01031039

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01031039

Keywords

Search

Navigation