云南高校图书馆联盟文献共享服务平台- ZEROS

ZEROS: 作品数：133被引量：140H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：惠淑荣张国伟薛明志张秀英周恒更多>>; 相关机构：东北大学沈阳农业大学郑州铁路局北京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划北京市自然科学基金广东省自然科学基金更多>>

Eigenvalues of a Differential Operator and Zeros of the Riemann ■-Function: 《Analysis in Theory and Applications》2020年第3期283-294,共12页Liming Ge Xian-Jin Li Dongsheng Wu Boqing Xue; Boqing Xue’s work is supported by the National Natural Science Foundation of China(Grant No.11701549).; The eigenvalues of a differential operator on a Hilbert-Polya space are determined.It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann ■-function.Moreover,their corresponding multiplici...; 关键词：Hilbert-Polya space zeros of zeta function differential operator eigenvalue.

On Sharpening of a Theorem of Ankeny and Rivlin: 《Analysis in Theory and Applications》2020年第2期225-234,共10页Aseem Dalal N.K.Govil; Let p(z)=∑v^n=0avz^v anzn be a polynomial of degree n,M(p,R)=:max|z|=R≥0|p(z)|and M(p,1)=:||P||.Then according to a well-known result of Ankeny and Rivlin[1],we have for R≥1,M(p,R≤(R^n+1/2)||p||.This inequality ha...; 关键词：INEQUALITIES POLYNOMIALS ZEROS

Some Estimates of the Maximum Modulus for Polynomials with Gaps: 《Analysis in Theory and Applications》2019年第4期421-426,共6页Eze R.Nwaeze; Let p(z)be a polynomial of degree n having some zeros at a point z0 ∈C with |z0|<1 and the rest of the zeros lying on or outside the boundary of a prescribed disk.In this brief note,we consider this class of polynomi...; 关键词：POLYNOMIALS maximum MODULUS ZEROS PRESCRIBED disk

A Note on a Theorem of T.J.Rivlin: 《Analysis in Theory and Applications》2018年第4期293-296,共4页Abdullah Mir Ajaz Wani Imtiaz Hussain; In this paper, we obtain a result that improves the results of Govil and Nwaeze, Qazi and the classical result of Rivlin.; 关键词：POLYNOMIAL maximum modulus ZEROS

Some Sharpening and Generalizations of a Result of T. J. Rivlin被引量：1: 《Analysis in Theory and Applications》2017年第3期219-228,共10页N.K.Govil Eze R.Nwaeze; Let p（z） = a0＋a1z＋a2z^2＋a3z3＋…＋anz^n be a polynomial of degree n. Rivlin [12] proved that if p （z） ≠ 0 in the unit disk, then for 0 〈 r ≤ 1,max（｜r＋1｜/2）^n max｜p（z）｜.｜z｜=1In this paper, we prove...; 关键词：INEQUALITIES POLYNOMIALS zeros.

On Growth of Polynomials with Restricted Zeros: 《Analysis in Theory and Applications》2016年第2期181-188,共8页Abdullah Mir G.N.Parrey; Let P（z） be a polynomial of degree n which does not vanish in ｜z｜〈k, k≥ 1. It is known that for each 0 〈 s 〈 n and 1 ≤ R ≤ k,M（P（s）,R）≤（1/（R^s＋k^s）[{d（s）/dx（s）（1＋x^n）}x=1]（（R＋k）/（1＋k）...; 关键词：POLYNOMIAL maximum modulus princple zeros.

Some Inequalities for the Polynomial with S-Fold Zeros at the Origin: 《Analysis in Theory and Applications》2016年第1期27-37,共11页Ahmad Zireh Mahmood Bidkham; Let p（z） be a polynomial of degree n, which has no zeros in ｜z｜〈 1, Dewan et al. [K. K. Dewan and Sunil Hans, Generalization of certain well known polynomial inequalities, J. Math. Anal. Appl., 363 （2010）, pp. ...; 关键词：POLYNOMIAL s-fold zeros INEQUALITY maximum modulus derivative.

Some Integral Mean Estimates for Polynomials with Restricted Zeros: 《Analysis in Theory and Applications》2015年第1期81-91,共11页Abdullah Mir Q.M.Dawood Bilal Dar; supported by UGC under major research project scheme vide No. MRP-MAJOR-MATH-2013-29143; Let P（z） be a polynomial of degree n having all its zeros in ｜z｜≤ k. For k = 1, it is known that for each r 〉 0 and ｜a｜≥1,n（｜a｜-1）{∫0^2π｜P（e^iθ）｜^rdθ}^1/r≤{∫0^2π｜1＋e^iθ｜^rdθ}^1/rmax｜z｜=1...; 关键词：POLYNOMIAL ZEROS polar derivative.

Some Generalization for an Operator Which Preserving Inequalities Between Polynomials: 《Analysis in Theory and Applications》2014年第3期260-274,共15页Ahmad Zireh Susheel Kumar Kum Kum Dewan; supported by University of Shahrood; For a polynomial p（z） of degree n which has no zeros in ｜z｜〈 1, Dewan et al., （K. K. Dewan and Sunil Hans, Generalization of certain well known polynomial inequalities, J. Math. Anal. Appl., 363 （2010）, 38-41...; 关键词：B-operator INEQUALITY polynomial maximum modulus restricted zeros.

Some Results on the Polar Derivative of a Polynomial: 《Analysis in Theory and Applications》2014年第3期306-317,共12页Abdullah Mir Bilal Dar; Let P（z） be a polynomial of degree n and for any complex number α, let DαP（z） = nP（z）＋（α-z）P＇（z） denote the polar derivative of P（z） with respect to α. In this paper, we obtain certain inequalities...; 关键词：POLYNOMIAL ZEROS polar derivative Bemstein inequality.

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