Number of zeros of a polynomial in a given domain

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Published: Dec 31, 2011
DOI: https://doi.org/10.5556/j.tkjm.42.2011.1037
Keywords:
Polynomials Zeros of polynomials

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A. Ebadian
Department ofMathematics, Faculty of Sciences, Urmia University, Urmia, Iran.
M. Bidkhamandm
Department ofMathematics, Faculty of Natural Sciences, Semnan University, Semnan, Iran.
Eshaghi Gordji
Department ofMathematics, Faculty of Natural Sciences, Semnan University, Semnan, Iran.

Abstract

In this paper, we obtain results concerning the bound for the number of zeros for the polynomial $p(z)$ which generalize earlier well-known result due to Bidkham and Dewan [{\it On the zeros of a polynomial}, Numerical Methods and Approximation Theory III, Ni\v{s} (1987), 121--128] and Mohammad [{\it On the zeros of polynomials}, Amer. Math. Monthly, 72 (1965), 631-633]. We also obtain result for location of zeros of polynomial $p(z)=\sum\limits_{i=0}^m \frac{a_i}{(i!)^\lambda} z^i+a_nz^n$, $a_n\neq 0$, $0\leq m\leq n-1$, $\lambda\geq 0$.\

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How to Cite
Ebadian, A., Bidkhamandm, M., & Gordji, E. (2011). Number of zeros of a polynomial in a given domain. Tamkang Journal of Mathematics, 42(4), 531–536. https://doi.org/10.5556/j.tkjm.42.2011.1037
Issue
Vol. 42 No. 4 (2011)
Section
Papers

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