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Integration of E-functions with respect to their parameters

Published online by Cambridge University Press:  18 May 2009

T. M. Macrobert
T. M. Macrobert
Affiliation:
The University, Glasgow
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A number of integrals of E-functions with respect to their parameters have been given by Ragab [1, 5]. Two further integrals of this type are given in § 2 and § 3.

In § 4 it is shown that these can be employed to sum series of products of E-functions.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 2 , July 1959 , pp. 84 - 87
Copyright
Copyright © Glasgow Mathematical Journal Trust 1959

References

1.Ragab, F. M., Proc. Glasgow Math. Assoc., 3 (1956), 94–98.CrossRefGoogle Scholar
2.MacRobert, T. M., Functions of a complex variable, 4th edition (London, 1954).Google Scholar
3.Ragab, F. M., Proc. Glasgow Math. Assoc., 3 (1958), 194–195.CrossRefGoogle Scholar
4.Ragab, F. M., New York University Institute of Mathematical Science, Research Report No. BR-23.Google Scholar
5.Ragab, F. M., Koninkl. Nederl. Akademie van Wetenschappen-Amsterdam, Proc. A. 61 (1958), 335–340.Google Scholar