Our result also gives generalization as well as improvement of some other well known results. Keywords: Inequality · polynomial · maximum modulus · derivative.

Jun 28, 2024 · 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 ...

Oct 3, 2005 · 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, ...

On the maximum modulus of a polynomial and its derivatives. Dewan, K.K.; Mir, Abdullah · International Journal of Mathematics and Mathematical Sciences (2005).

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Nov 10, 2011 · Since all zeros of p(z) lie in |z| < k, by Rouche's theorem we can deduce that all zeros of the polynomial G ( z ) = p ( z ) - λ m z k n lie in ...

On the maximum modulus of a polynomial and its derivatives. K. K. Dewan. Naresh Singh ∗. Roshan Lal. Department of Mathematics. Faculty of Natural Sciences.

Oct 9, 2014 · In this paper, we generalize the above inequality and some related inequalities by extending them to the class of polynomials having no ...

Corollary 1.5. If p(z) is a polynomial of degree n, having no zeros in |z| < 1, except s-fold zeros at the origin, 0 ≤ s ≤ n, then max |p′ (z)| ≤ |z|=1 n+s n−s ...

"On the maximum modulus of a polynomial and its derivatives," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-5 ...