Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-02T23:44:11.255Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Finite Inversion Formulae

Published online by Cambridge University Press:  03 November 2016

R. G. Stanton  and
D.A. Sprott
R. G. Stanton
Affiliation:
University of Waterloo, Ontario, Canada
D.A. Sprott
Affiliation:
University of Waterloo, Ontario, Canada
Get access Rights & Permissions [Opens in a new window]

Extract

In a great many problems in probability, one is given one set of quantities Xj expressed in terms of a second set of quantities Yk, and one needs an expression for the Yk in terms of the Xj. Basically, of course, this is just a problem in solving equations, but the results can be expressed in a particularly elegant form when the coefficients involve the binomial quantities . This situation is one that occurs very frequently, and the resulting formulae simplify the derivations of many identities. The present expository account is intended to collect together various results in a convenient form. We shall need to recall briefly a few of the main properties of the binomial coefficients.

Type
Research Article
Information
The Mathematical Gazette , Volume 46 , Issue 357 , October 1962 , pp. 197 - 202
Copyright
Copyright © Mathematical Association 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.)