NUMBER OF ZEROS OF A POLYNOMIAL IN A GIVEN DOMAIN

被引：0

作者：

Ebadian, A. ^{[1
]}

Bidkham, M. ^{[2
]}

Gordji, M. Eshaghi ^{[2
]}

机构：

[1] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

[2] Semnan Univ, Fac Nat Sci, Dept Math, Semnan, Iran

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2011年 / 42卷 / 04期

关键词：

Polynomials; zeros of polynomials;

D O I：

10.5556/j.tkjm.42.2011.531-536

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 [On the zeros of a polynomial, Numerical Methods and Approximation Theory III, Nis (1987), 121-128] and Mohammad [On the zeros of polynomials, Amer. Math. Monthly, 72 (1965), 631-633]. We also obtain result for location of zeros of polynomial p(z) = Sigma(m)(i=0) a(i)/(i!)(lambda) z(i) + a(n)z(n), a(n) not equal 0, 0 <= m <= n - 1, lambda >= 0.

引用

页码：531 / 536

页数：6

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