No CrossRef data available.
Article contents
The Distinct Zeros of the Product of a Polynomial and its Successive Derivatives
Published online by Cambridge University Press: 20 November 2018
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.
It has been conjectured that if p(z) is a polynomial of degree n then the product P(z)=p(z)p'(z)p"(z)…p(n-1)(z) has at least n+1 distinct zeros unless p(z)=c(z—a)n. Professor P. Erdös who mentioned this problem in a lecture at the University of Montreal attributed it to Tiberiu Popoviciu.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1971
You have
Access