Skip to main content
Log in

On some integrals involving Chebyshev polynomials

  • Published:
The Ramanujan Journal Aims and scope Submit manuscript

Abstract

In this paper, we evaluate certain integrals involving Chebyshev polynomials. Some integrals are computed in very elegant forms with the aid of nicely shown combinatorial identities.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products, 7th edn. Elsevier, Amsterdam (2007)

    MATH  Google Scholar 

  2. Mason, J.C., Handscomb, D.C.: Chebyshev Polynomials. Chapman and Hall/CRC, Boca Raton (2003)

    MATH  Google Scholar 

  3. Rivlin, T.J.: Chebyshev Polynomials. From Approximation Theory to Algebra and Number Theory. Pure and Applied Mathematics. Wiley, New York (1990)

    Google Scholar 

  4. Schneider, C.: Symbolic summation assists combinatorics. Sém. Lothar. Combin. 56, B56b (2007)

    Google Scholar 

Download references

Acknowledgments

The author wishes to thank Professor Kenneth B. Stolarsky who let the author know some questions in this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seon-Hong Kim.

Additional information

This research was supported by the Sookmyung Women’s University Research Grants 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kim, SH. On some integrals involving Chebyshev polynomials. Ramanujan J 38, 629–639 (2015). https://doi.org/10.1007/s11139-015-9671-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11139-015-9671-2

Keywords

Mathematics Subject Classification

Navigation