IJPAM: Volume 107, No. 2 (2016)

ON THE NUMBER OF ZEROS OF
A POLYNOMIAL IN A SPECIFIED DISK

Eze R. Nwaeze
Department of Mathematics
Tuskegee University
Tuskegee, AL 36088, USA


Abstract. Let $p(z)=a_0+a_1z+a_2z^2+a_3z^3+\cdots+a_nz^n$ be a polynomial of degree $n,$ where the coefficients $a_j,$ $j \in \{0,1,2,\cdots n\},$ may be complex. We impose some restriction on the coefficients of the real part of the given polynomial and then estimate the maximum number of zeros such polynomial can possibly have in a specified disk.

Received: February 18, 2016

AMS Subject Classification: 30A99, 30E10

Key Words and Phrases: complex polynomials, location of zeros, number of zeros, specified disk

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DOI: 10.12732/ijpam.v107i2.11 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 2
Pages: 415 - 421


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