On Maximum Modulus of Polynomials With Zeros in the Closed Exterior of a Circle

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Authors

  • V. K. Jain
     Mathematics Department, I.I.T., Kharagpur-721302 ,IN

Abstract

Let f(z) be an arbitrary entire function and M(f,r)=max |f(z)|. If p(z) is a polynomial of degree n, having no zeros in |zl<k≤1, with M(p,1)=1, then for k=1, it is known that.
M(p,R)≤Rn+1/2, R>1.

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Published

2003-12-01

How to Cite

Jain, V. K. (2003). On Maximum Modulus of Polynomials With Zeros in the Closed Exterior of a Circle. The Journal of the Indian Mathematical Society, 70(1-4), 179–183. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/21941

Issue

Volume 70, Issue 1-4, January-December 2003

Section

Articles

License

Copyright (c) 2003 V. K. Jain

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This work is licensed under a Creative Commons Attribution 4.0 International License.