Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-24T13:55:22.978Z Has data issue: false hasContentIssue false
  • English
  • Français

On certain infinite integrals involving Struve functions and parabolic cylinder functions

Published online by Cambridge University Press:  20 January 2009

S. C. Mitra
S. C. Mitra
Affiliation:
Dacca University, India.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The object of the present note is to obtain a number of infinite integrals involving Struve functions and parabolic cylinder functions. 1. G. N. Watson(1) has proved that

From (1)

follows provided that the integral is convergent and term-by-term integration is permissible. A great many interesting particular cases of (2) are easily deducible: the following will be used in this paper.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 7 , Issue 4 , October 1946 , pp. 171 - 173
Copyright
Copyright © Edinburgh Mathematical Society 1946

References

REFERENCES

Whittaker, E. T. and Watson, G. N., Modern Analysis, 3rd Edition, p. 353.Google Scholar
Mitra, C. S., Math. Zeitschr., 43 (1943), p. 205.CrossRefGoogle Scholar
Whittaker, E. T. and Watson, G. N., Math. Zeitschr., p. 349.Google Scholar
Mohan, B., Quart. J. of Math., 13 (1942), p. 40.CrossRefGoogle Scholar
Carslaw, H. S. and Jaeger, J. C., Operational Methods in Applied Mathematics, p. xiv.Google Scholar
Watson, G. N., Bessel Functions, p. 395.Google Scholar
Varma, K. S., Proc. Cambridge Phil. Soc, 32 (1937), p. 210.CrossRefGoogle Scholar
Goldstein, S., Proc. London Math. Soc. (2), 34 (1932), p. 103.Google Scholar