Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-22T11:47:13.341Z Has data issue: false hasContentIssue false
  • English
  • Français

XIII.—Continuants resolvable into Linear Factors

Published online by Cambridge University Press:  06 July 2012

Thomas Muir
Get access Rights & Permissions [Opens in a new window]

Extract

(1) It is known that a continuant whose three diagonals are formed of certain equidifferent progressions is resolvable into linear factors, the earliest specimens placed on record being those of Sylvester and Painvin. The object of the present paper is to show that there are continuants of quite a different type which are also so resolvable, and to expound a general mode of investigating the subject.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 41 , Issue 2 , 1906 , pp. 343 - 358
Copyright
Copyright © Royal Society of Edinburgh 1906

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

page 343 note * [Sylvester, J. J.] “Théorème sur les déterminants de M. Sylvester,” Nour. Annales de Math., xiii. p. 305.

Painvin, “Sur un certain système d'équations linéaires,” Journ. de Liourille, 2e sér., iii. pp. 41-46.

Muir, Thomas. “Factorizable Continuants,” Trans. S. Afr. Philos. Soc., xiv. pp. 29-33.