Skip to main content
SpringerLink
Log in

A New Integral Involving the Product of Bessel Functions and Associated Laguerre Polynomials

  • Published:
Acta Applicandae Mathematicae Aims and scope Submit manuscript

Abstract

A new result for integrals involving the product of Bessel functions and Associated Laguerre polynomials is obtained in terms of the hypergeometric function. Some special cases of the general integral lead to interesting finite and infinite series representations of hypergeometric functions.

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. Mavromatis, H.A., Alassar, R.S.: A generalized formula for the integral of three associated Legendre polynomials. Appl. Math. Lett. 12, 101–105 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  2. Mavromatis, H.A., Alassar, R.S.: Two new associated Laguerre integral results. Appl. Math. Lett. 14, 903–905 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  3. Alhaidari, A.D.: Evaluation of integrals involving orthogonal polynomials: Laguerre polynomial and Bessel function example. Appl. Math. Lett. 20(1), 38–42 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  4. Gradshteyn, I.S.: Tables of Integrals, Series and Products, 4th edn. Academic Press, New York (1980), prepared by A. Jeffery

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia

    R. S. Alassar

  2. Physics Department, American University of Beirut, P.O. Box 11-0236, Beirut, Lebanon

    H. A. Mavromatis

  3. Physics Department, University of South Africa, P.O. Box 392, Pretoria, 0001, South Africa

    S. A. Sofianos

Authors
  1. R. S. Alassar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. A. Mavromatis
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. A. Sofianos
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. S. Alassar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alassar, R.S., Mavromatis, H.A. & Sofianos, S.A. A New Integral Involving the Product of Bessel Functions and Associated Laguerre Polynomials. Acta Appl Math 100, 263–267 (2008). https://doi.org/10.1007/s10440-007-9183-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10440-007-9183-1

Keywords

Search

Navigation