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Expansion of an E-function in a series of products of E-functions

Published online by Cambridge University Press:  18 May 2009

F. M. Ragab
F. M. Ragab
Affiliation:
Institute for Advanced Study, Pbinoeton, N.J., U.S.A.
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Extract

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The formula to be established is

where | amp z < π, z ≠ 0, R(α + β) > R(ς) > R(alpha;) > 0, R(ς - β) > 0.

In proving (1) use will be m ade of the two following formulae.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 4 , July 1958 , pp. 194 - 195
Copyright
Copyright © Glasgow Mathematical Journal Trust 1958

References

REFERENCES

1.MacRobert, T. M., Functions of a complex variable (London, 1954).Google Scholar
2.Rathie, C. B., A few infinite integrals involving E-functions, Proc. Glasgow Math. Assoc., 2 (1955), 170–172.CrossRefGoogle Scholar
3.Bromwich, T. J. I., Theory of infinite series (London, 1926).Google Scholar