On the maximum modulus of a polynomial and its derivatives
K. K. Dewan, Abdullah Mir
International Journal of Mathematics and Mathematical Sciences · 2005
doi:10.1155/ijmms.2005.2641 (opens in a new tab)
We email you when a new notice or a question about this paper appears.
Abstract
Let f(z) be an arbitrary entire function and M(f,r)=max|z|=r|f(z)|. For a polynomial P(z), having no zeros in |z|<k, k≥1, Bidkham and Dewan (1992) proved max|z|=r|P′(z)|≤(n(r+k)n−1/(1+k)n)max|z|=1|P(z)| for 1≤r≤k. In this paper, we generalize as well as improve upon the above inequality.
Abstract licence: CC BY
Reads
Read by people on this page
None yet.
Checked or read by AI through naulon
None yet.
A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.
Are you an author?
Is this your paper?
Claim it to add your note and be paid when agents cite it. Free.