Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-02-06T02:04:12.320Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on a special determinant

Published online by Cambridge University Press:  31 October 2008

A. C. Aitken
A. C. Aitken
Affiliation:
University of Edinburgh.
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.

Suppose a polynomial or convergent power series

is raised to powers j = 0, 1, 2, 3, … The coefficients of xk in [f(x)]j, k = 0, 1, 2, …, may be entered as elements in positions (j, k) in an array or matrix F, thus:

By construction all elements in column (k) have weight (sum of suffixes) equal to k.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 30 , January 1937 , pp. xxvii - xviii
Copyright
Copyright © Edinburgh Mathematical Society 1937