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A short proof of MacMahon's ‘Master Theorem’

Published online by Cambridge University Press:  24 October 2008

I. J. Good
I. J. Good
Affiliation:
Admiralty Research LaboratoryTeddington, Middlesex
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Extract

MacMahon (2) makes much use of the following result, which he describes as the “Master Theorem”.

Let

and let m1, m2, … mn be non-integers. Then the coefficient ofinis equal to the coefficient ofin

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 1 , January 1962 , pp. 160
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Good, I. J.Generalizations to several variables of Lagrange's expansion, with applications to stochastic processes. Proc. Cambridge Philos. Soc. 56 (1960), 367–80.CrossRefGoogle Scholar
(2)MacMahon, P. A.Combinatory analysis, vol. I (Cambridge, 1915), 93–123.Google Scholar