On an inequality of Paul Turan concerning polynomials
- Authors: Mir A.1, Dewan K.K.2, Hussain I.1
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Affiliations:
- Department ofMathematics
- Department of Mathematics
- Issue: Vol 37, No 2 (2016)
- Pages: 155-159
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197433
- DOI: https://doi.org/10.1134/S1995080216020104
- ID: 197433
Cite item
Abstract
Let P(z) be a polynomial of degree n and Ps(z) be its sth derivative. In this paper, we shall prove some inequalities for the sth derivative of a polynomial having zeros inside a circle, which as a special case give generalizations and refinements of some results of Turan, Govil, Malik and others.
Keywords
About the authors
Abdullah Mir
Department ofMathematics
Author for correspondence.
Email: mabdullah_mir@yahoo.co.in
India, Srinagar, 19006
K. K. Dewan
Department of Mathematics
Email: mabdullah_mir@yahoo.co.in
India, New Delhi, 110025
Imtiaz Hussain
Department ofMathematics
Email: mabdullah_mir@yahoo.co.in
India, Srinagar, 19006