Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-26T11:37:30.762Z Has data issue: false hasContentIssue false
  • English
  • Français

Some numerical series from

Published online by Cambridge University Press:  22 September 2016

J.M.H. Peters
J.M.H. Peters*
Affiliation:
Department of Mathematics, Liverpool Polytechnic, Byrom Street, Liverpool L3 3AF
Get access Rights & Permissions [Opens in a new window]

Extract

There is some interesting mathematics associated with the integration of the function

for positive integers n. For n = 1 we have

to within an arbitrary constant. Expanding the integrand with the binomial theorem and integrating term by term gives the well-known result

Type
Research Article
Information
The Mathematical Gazette , Volume 67 , Issue 440 , June 1983 , pp. 94 - 101
Copyright
Copyright © Mathematical Association 1983

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.)