Let $P$ be a complex polynomial of the form $P(z)=z\displaystyle\prod_{k=1}^{n-1}(z-z_{k})$,where $|z_k|\ge 1,1\le k\le n-1$ then $ P^\prime(z)\ne 0$. If $|z|<\dfrac {1}{n}$. In this paper, we present some interesting generalisations of this result.
Zargar,B A and Ahmad,M . (2016). On some generalisations of Brown's conjecture. International Journal of Nonlinear Analysis and Applications, 7(2), 345-349. doi: 10.22075/ijnaa.2016.2320
MLA
Zargar,B A , and Ahmad,M . "On some generalisations of Brown's conjecture", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 345-349. doi: 10.22075/ijnaa.2016.2320
HARVARD
Zargar B A, Ahmad M. (2016). 'On some generalisations of Brown's conjecture', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 345-349. doi: 10.22075/ijnaa.2016.2320
CHICAGO
B A Zargar and M Ahmad, "On some generalisations of Brown's conjecture," International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 345-349, doi: 10.22075/ijnaa.2016.2320
VANCOUVER
Zargar B A, Ahmad M. On some generalisations of Brown's conjecture. IJNAA. 2016;7(2):345-349. doi: 10.22075/ijnaa.2016.2320
International Journal of Nonlinear Analysis and Applications