Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-02-02T22:31:37.054Z Has data issue: false hasContentIssue false
  • English
  • Français

A Proof of Lagrange's Theorem

Published online by Cambridge University Press:  20 January 2009

T. Hugh Miller
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

If y=z + xy(y) where x and z are independent, Lagrange's series gives the expansion of any function of y in terms of x. The coefficients of the powers of x may be found thus. Let ø(y) be the function to be expanded. Then by Taylor's theorem

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , February 1885 , pp. 45 - 46
Copyright
Copyright © Edinburgh Mathematical Society 1885