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Further Integrals Involving E-Functions

Published online by Cambridge University Press:  18 May 2009

F. M. Ragab
F. M. Ragab
Affiliation:
University of Glasgow, and Faculty of Science, Heliopolis University, Abbassia, Cairo.
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The formulae to be proved are

where m is a positive integer, p ≧ q + 1, R(mar + k) > 0, r = 1, 2, …, p, and | amp z |ππ. For other values of p and q the result holds if the integral is convergent.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 2 , October 1954 , pp. 77 - 84
Copyright
Copyright © Glasgow Mathematical Journal Trust 1954

References

REFERENCES

(1)MacRobert, T. M., Proc. Glasg. Math. Ass., 1, 191 (1953).Google Scholar
(2)MacRobert, T. M., Functions of a Complex Variable (3rd ed., London, 1946), formulae (21), (22), (23), pp. 352, 353.Google Scholar
(3)MacRobert, T. M., Proc. Glasg. Math. Ass., 1, 190 (1953).CrossRefGoogle Scholar
(4)MacRobert, T. M., Proc. Glasg. Math. Ass., 1, 118 (1953).CrossRefGoogle Scholar
(1)Gray, , Mathews, and MacRobert, , Bessel Functions, p. 46.Google Scholar
(2, 3)MacRobert, T. M., Proc. Glasg. Math. Ass., 1, 191, 190Google Scholar
(4)MacRobert, T. M., Complex Variable, pp. 352, 353.Google Scholar