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On the coefficients of a polynomial with restricted zeros |
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| Authors: | Abdul Aziz W. M. Shah |
| Affiliation: | (1) Post Graduate Department of Mathematics, University of Kashmir, Srinagar, India;(2) Post Graduate Department of Mathematics, Govt. College, Baramulla, Kashmir, 193101, India |
| Abstract: | LetP(Z)=αn Zn + αn-1Zn-1 +…+α0 be 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 coeffi-cients of the polynomial P(z) with restricted zeros. We also establish a sufficient condition for the separation of zeros of P(z). |
| Keywords: | polynomial inequality coefficient estimate separation of zeros |
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