ON THE COEFFICIENTS OF A POLYNOMIAL WITH RESTRICTED ZEROS

Let P（z）=anz^n＋an-1z^n-1＋…＋a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P（z）. In this paper we prove some sharp inequalities concerning the coefficients of the polynomial P（z） with restricted zeros. We also establish a sufficient condit...

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Bibliographic Details
Published inAnalysis in theory & applications no. 2; pp. 142 - 146
Main Author A. Aziz W. M. Shah
Format Journal Article
LanguageChinese
Published 2009
Subjects
充分条件
多项式零点
系数和
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ISSN1672-4070
1573-8175

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Summary:Let P（z）=anz^n＋an-1z^n-1＋…＋a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P（z）. In this paper we prove some sharp inequalities concerning the coefficients of the polynomial P（z） with restricted zeros. We also establish a sufficient condition for the separation of zeros of P（z）.
Bibliography:32-1631/O1
polynomial inequality, coefficient estimate, separation of zeros
TB112
O153.3
ISSN:1672-4070
1573-8175