Skip to main content
SpringerLink
Log in

Integrals of products of Bessel functions for applied electrodynamic problems

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We determine definite integrals of products of Bessel functions of the first and second kind of different orders with various complicated arguments with finite limits of integration.

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

References

  1. M. Abramowitz and I. Stegun (eds.),Handbook of Mathematical Functions [Russian translation], Nauka, Moscow (1979).

    Google Scholar 

  2. G. N. Watson,The Theory of Bessel Functions [Russian translation], Inostrannaya Literatura, Moscow (1949).

    Google Scholar 

  3. M. K. Kerimov and S. A. Skorokhodov, “On some asymptotic formulas for cylindrical Bessel functions,”Zh. Vych. Mat. Mat. Fiz., No. 12, 1775–1784 (1990).

    Google Scholar 

  4. H. Bateman and A. Erdélyi,Higher Transcendental Functions, Vol. 1,2, McGraw Hill, New York, Toronto, London (1953).

    Google Scholar 

  5. I. S. Gradshtein and I. M. Ryzhik,Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  6. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,Integrals and Series. Special Functions [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  7. O. A. Val'dner, A. V. Shal'nov, and A. N. Didenko,Accelerating Waveguides [in Russian], Atomizdat, Moscow (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kiev Military Institute of Management and Communication, Kiev

    V. N. Pochernyaev

Authors
  1. V. N. Pochernyaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 566–570, April, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pochernyaev, V.N. Integrals of products of Bessel functions for applied electrodynamic problems. Ukr Math J 47, 658–662 (1995). https://doi.org/10.1007/BF01056055

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056055

Keywords

Search

Navigation