For every $1\leq s< n$, the $s^{th}$ derivative of a polynomial $P(z)$ of degree $n$ is a polynomial $P^{(s)}(z)$ whose degree is $(n-s)$. This paper presents a result which gives generalizations of some inequalities regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle. Besides, our result gives interesting refinements of some well-known results.
Mir,A . (2016). On the $s^{th}$ derivative of a polynomial. International Journal of Nonlinear Analysis and Applications, 7(1), 141-145. doi: 10.22075/ijnaa.2015.130
MLA
Mir,A . "On the $s^{th}$ derivative of a polynomial", International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 141-145. doi: 10.22075/ijnaa.2015.130
HARVARD
Mir A. (2016). 'On the $s^{th}$ derivative of a polynomial', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 141-145. doi: 10.22075/ijnaa.2015.130
CHICAGO
A Mir, "On the $s^{th}$ derivative of a polynomial," International Journal of Nonlinear Analysis and Applications, 7 1 (2016): 141-145, doi: 10.22075/ijnaa.2015.130
VANCOUVER
Mir A. On the $s^{th}$ derivative of a polynomial. IJNAA. 2016;7(1):141-145. doi: 10.22075/ijnaa.2015.130
International Journal of Nonlinear Analysis and Applications