Skip to main content
Log in

Abstract

In this paper a formula connecting self-reciprocal functions of different order in ωμν-transform are developed by employing fractional integration. Further it is shown that the process can be extended to other Fourier kernels. This is illustrated by considering the transform defined by Bhatnagar.

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

Access this article

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. Bhatnagar, K. P.Ganita, 1953,4, 99.

    MATH  MathSciNet  Google Scholar 

  2. Bushman, R. G.Math. Japon, 1964,9, 99–106.

    MathSciNet  Google Scholar 

  3. Erde’lyi, ArthurUniversita e Politechnica di Torino, Rend Sem. Mat., 1950–51,10, 217–34.

    MathSciNet  Google Scholar 

  4. -Tables of Integral Transform, 1954,2.

  5. Joshi, D. G. “On self-reciprocal functions,”Proc. Nat. Acad. Sci. India, 1968,38 (A), I & II, 193–202.

    MATH  Google Scholar 

  6. Narain, R.Universita e Politechnico, di Torino Rend. Sem. Mat., 1956–57,16, 269–300.

    MathSciNet  Google Scholar 

  7. Ibid., 1966–67,26, 87–91.

    Google Scholar 

  8. Titchmarsh, E. C.Introduction to the Theory of Fourier Integrals, 1948.

  9. Watson, G. N.Quart. Journ. Math. (Oxford), 1931,2, 298–309.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Dr. P. L. Bhatnagar,f.a.sc.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joshi, D.G. Fractional integration and ωμν-transform. Proc. Indian Acad. Sci. 71, 230–237 (1970). https://doi.org/10.1007/BF03049569

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03049569

Keywords

Navigation