? ZERO-FREE REGION FOR POLYNOMIALS WITH RESTRICTED REAL COEFFICIENTS

P. RAMULU; G. L. REDDY; C. GANGADHAR

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? ZERO-FREE REGION FOR POLYNOMIALS WITH RESTRICTED REAL COEFFICIENTS

机译：？带约束实系数的多项式的零零区域

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In this paper we prove some extension of the Enestr?m-Kakeya theorem says that. Let P(z)= be a polynomial of degree nsuch that then all the zeros of P(z) lie in |z|1. By relaxing the hypothesis of this result in several ways and obtain zero-free regions for polynomials with restricted coefficients and there by present some interesting generalizations and extensions of the Enestrom-Kakeya Theorem.

机译：在本文中，我们证明了Enestr？m-Kakeya定理的某些扩展。令P（z）=为n阶的多项式，使得P（z）的所有零都位于| z | 1中。通过以多种方式放宽此结果的假设，并获得具有受限系数的多项式的零自由区，并在此给出Enestrom-Kakeya定理的一些有趣的概括和扩展。

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《International Research Journal of Pure Algebra》 |2015年第5期|共页
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P. RAMULU; G. L. REDDY; C. GANGADHAR;
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中图分类代数、数论、组合理论;
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1. ? ZERO-FREE REGIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS [J] . M. H. Gulzar International Research Journal of Pure Algebra . 2013,第2期

机译：？带限制系数的多项式的零零区域
2. On a Li-type criterion for zero-free regions of certain Dirichlet series with real coefficients [J] . Alina Bucur, Almasa Od?ak, Anne-Maria Ernvall-Hyt?nen, LMS journal of computation and mathematics . 2016,第1期

机译：具有实系数的Dirichlet级数的零自由区域的Li型准则
3. ANGLE-RESTRICTED SETS AND ZERO-FREE REGIONS FOR THE PERMANENT [J] . Etingof Pavel SIAM Journal on Discrete Mathematics . 2020,第2期

机译：角度限制集和永久的无零区域
4. Robust stability of time-variant difference equations with restricted parameter perturbations: regions in coefficient-space [C] . Premaratne, K., Mansour, . 1997

机译：带有参数摄动的时变差分方程的鲁棒稳定性：系数空间中的区域
5. CLASSIFICATION OF ALL THE MINIMAL BILINEAR ALGORITHMS FOR COMPUTING THE COEFFICIENTS OF TWO POLYNOMIALS MODULO A POLYNOMIAL [D] . AVERBUCH, AMIR. 1984

机译：所有最小双线性算法的分类，用于计算两种多项式模数的系数多项式
6. Editors choice: Precise ex vivo histological validation of heightened cellularity and diffusion-restricted necrosis in regions of dark apparent diffusion coefficient in 7 cases of high-grade glioma [O] . Peter S. LaViolette, Nikolai J. Mickevicius, Elizabeth J. Cochran, 2014

机译：编辑选择：7例高级神经胶质瘤的暗表观弥散系数区域中高细胞密度和弥散受限坏死的精确体外组织学验证
7. Zero-free parabolic regions for polynomials with complex coefficients [O] . Hans-J. Runckel 1983

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8. On the Sharpness of Theorems Concerning Zero-Free Regions for Certain Sequences of Polynomials, [R] . varga, r. s. saff, e. b. 1975

机译：关于某些多项式序列的零自由区定理的清晰度，

? ZERO-FREE REGION FOR POLYNOMIALS WITH RESTRICTED REAL COEFFICIENTS

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