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.
Similar content being viewed by others
References
Bhatnagar, K. P.Ganita, 1953,4, 99.
Bushman, R. G.Math. Japon, 1964,9, 99–106.
Erde’lyi, ArthurUniversita e Politechnica di Torino, Rend Sem. Mat., 1950–51,10, 217–34.
-Tables of Integral Transform, 1954,2.
Joshi, D. G. “On self-reciprocal functions,”Proc. Nat. Acad. Sci. India, 1968,38 (A), I & II, 193–202.
Narain, R.Universita e Politechnico, di Torino Rend. Sem. Mat., 1956–57,16, 269–300.
—Ibid., 1966–67,26, 87–91.
Titchmarsh, E. C.Introduction to the Theory of Fourier Integrals, 1948.
Watson, G. N.Quart. Journ. Math. (Oxford), 1931,2, 298–309.
Author information
Authors and Affiliations
Additional information
Communicated by Dr. P. L. Bhatnagar,f.a.sc.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03049569