Abstract
In this paper we evaluate certain integrals involving a generalised function of two variables and employ these to establish Fourier series expansions for this function. Results obtained recently by Mac Robert (1959) and (1961), Kesarwani (1966), Bajpai (1969), Parashar (1967) and Shah (1971) can be deduced from our results on specialising the parameters.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Agarwal, R. P...Proc. Nat. Inst. Sci., India, 1965,31, 536.
Bajpai, S. D...Proc. Camb. Phil. Soc., 1969,65, 703.
Gupta, K. C. and Mital, P. K. ..J. Pure and Applied Maths, (Communicated), 1971.
Kaul, C. L...The Math. Education, India, 1970,4, 40.
Kesarwani, R. N...Compositio Math., 1966,17, 149.
MacRobert, T. M...Math. Z., 1959,71, 143.
—..Ibid., 1961,75, 79.
Parashar, B. P...Proc. Camb. Phil Soc., 1967,63, 1083.
Shah, M. L...Indian J. Pure and Appld. Maths., 1971,2, 464.
Snnedon, I. N...Special Functions of Mathematical Physics and Chemistry, Interscience Publishers Inc., New York, 1956, p. 41.
Author information
Authors and Affiliations
Additional information
Communicated by Prof. J. N. Kapur,f.a.sc.
Rights and permissions
About this article
Cite this article
Kaul, C.L. Fourier series of a generalised function of two variables. Proc. Indian Acad. Sci. 75, 29–38 (1972). https://doi.org/10.1007/BF03049727
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03049727