Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-23T20:29:14.664Z Has data issue: false hasContentIssue false
  • English
  • Français

Proofs of some ‘binomial’ identities by means 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
Get access Rights & Permissions [Opens in a new window]

Extract

MacMahon (5) used his “Master Theorem”, which is stated in the preceding note (4), in order to obtain an elegant proof of Dixon's identity

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 1 , January 1962 , pp. 161 - 162
Copyright
Copyright © Cambridge Philosophical Society 1962

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bailey, W. N.Generalized hypergeometric series (Cambridge, 1935).Google Scholar
(2)Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G.Higher transcendental functions, vol. I (Bateman Project) (New York, 1953).Google Scholar
(3)Fjeldstad, J. E.A generalization of Dixon's formula. Math. Scandinavica, 2 (1954), 46–8.CrossRefGoogle Scholar
(4)Good, I. J.A short proof of MacMahon's ‘Master Theorem’. Proc. Cambridge Philos. Soc. 58 (1962), 160.CrossRefGoogle Scholar
(5)MacMahon, P. A.Combinatory analysis, vol. I (Cambridge, 1915), 93–123.Google Scholar
(6)MacMahon, P. A.The sums of powers of the binomial coefficients. Quart. J. Pure Appl. Math. 33 (1902), 274–88.Google Scholar