Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-02-06T02:11:37.187Z Has data issue: false hasContentIssue false
  • English
  • Français

A necessary and sufficient condition for differentiability

Published online by Cambridge University Press:  31 October 2008

R. L. Goodstein
R. L. Goodstein
Affiliation:
University College, Leicester.
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.

The familiar Lemma introduced by Goursat in his proof of Cauchy's theorem suggests the following necessary and sufficient condition for differentiability of a complex function f(z).

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 37 , January 1949 , pp. 13 - 16
Copyright
Copyright © Edinburgh Mathematical Society 1949