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Integration of E-Functions with regard to their parameters

Published online by Cambridge University Press:  18 May 2009

F. M. Ragab
F. M. Ragab
Affiliation:
Faculty of Science, Ers Shams University, Cairo
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In integrating E-functions with respect to their parameters the contours are usually of the Barnes type, deformed if necessary to separate the increasing and decreasing sequences of poles of the integrands. Also the constants are taken to be such that the integrals converge. The following formulae are required in proving the theorems given in this paper.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 2 , June 1957 , pp. 94 - 98
Copyright
Copyright © Glasgow Mathematical Journal Trust 1957