Growth of the sth derivative of a polynomial with restricted zeros

	Growth of the sth derivative of a polynomial with restricted zeros
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 15، شماره 7، مهر 2024، صفحه 1-9 اصل مقاله (383.77 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27169.3521
نویسندگان
Reingachan Ngamchui؛ Khangembam Babina Devi^* ؛ Barchand Chanam
Department of Mathematics, National Institute of Technology Manipur, Manipur-795004, India
چکیده
In this paper, we establish some upper bound estimates for the maximum modulus of the higher order derivative of a polynomial with restricted zeros on a circle of $\|z\|=R$, $R\geq 1$, in terms of the maximum modulus of the same polynomial on the unit circle $\|z\|=1$. These results generalize and sharpen some known results in this direction.
کلیدواژه‌ها
Polynomials؛ Zeros؛ Inequalities؛ Maximum modulus
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