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A Product of two E-Functions Expressed as a Sum of Two E-Functions

Published online by Cambridge University Press:  18 May 2009

F. M. Ragab
Affiliation:
University of Glasgow, and Faculty of Science, Ein Shams University, Cairo.
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The formula to be proved is

In proving (1) the following formulae are required:

where pq + 1, (1).

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1955

References

REFERENCES

(1)MacRobert, T. M., Complex Variable, p. 353.Google Scholar
(2)Watson, G. N., Proa. Lond. Math. Soc., (2), 23 (1925); Whipple F. J. W., Proc. Lond, Math. Soc., (2), 24 (1926).Google Scholar
(3)MacRobert, T. M., loc. cit., p. 346.Google Scholar
(4)MacRobert, T. M., loc. cit., p. 351.Google Scholar
(5)Ragab, F. M., Proc. Glasg. Math. Ass., 1, (1953) 192.CrossRefGoogle Scholar