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The Generating Functions of Certain Special Determinants

Published online by Cambridge University Press:  15 September 2014

Thomas Muir
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Extract

(1) From a general theorem, known since 1855, and perhaps earlier, regarding the reciprocal of the series

it follows that

where β0 = 1 and

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 24 , 1904 , pp. 387 - 392
Copyright
Copyright © Royal Society of Edinburgh 1904

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References

page 388 note * Faure, … Théorème sur la somme des puissances semblables des racines. Nouv. Annales de Math., xiv. pp. 94–97.

page 392 note * This is due to Dr F. S. Macaulay, v. Math. Gazette, ii. p. 61.