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A Linear Relation between E-Functions

Published online by Cambridge University Press:  18 May 2009

F. M. Ragab
Affiliation:
Faculty of Science, Ibrahim University, Cairo
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The formula to be proved is

The formulae required in the proof are the Barnes Integral

and Whipple's Formula (1)

§ 2. Proof of the Formula. From (2) the E-function on the left of (1) is equal to

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1953

References

REFERENCES

(1)Whipple, F. J. W., Proc. Land. Math. Soc. (2), 23 (1923), p. 113.Google Scholar
(2)MacRobert, T. M., Phil. Mag. (7), 31 (1941), p. 255.Google Scholar