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Applications of the multiplication formula for the gamma function to E-function series

Published online by Cambridge University Press:  18 May 2009

T. M. Macrobert
T. M. Macrobert
Affiliation:
The University Glasgow
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In two recent papers [1, 2] the Barnes integral for the E-functions was employed to sum a number of infinite series of E-functions. In §2 of this paper, by making use of the multiplication formula for the gamma function, the method is extended to series of E-functions of a different type.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 3 , January 1960 , pp. 114 - 118
Copyright
Copyright © Glasgow Mathematical Journal Trust 1960

References

1.MacRobert, T. M., Infinite series of E-functions, Proc. Glasgow Math. Assoc, 4 (1958), 26–28.CrossRefGoogle Scholar
2.MacRobert, T. M., Infinite series of E-functions, Math. Z., 71 (1959), 143–145.Google Scholar
3.MacRobert, T. M., Functions of a complex variable, 4th edition (1954).Google Scholar