Some Inequalities on Polar Derivative of Polynomial Having No Zero in a Disc  

作　　者：Barchand Chanam 

机构地区：[1]Department of Basic Sciences and Humanities, National Institute of Technology, Manipur, India

出　　处：《Advances in Pure Mathematics》2015年第13期796-803,共8页理论数学进展（英文）

摘　　要：Let , , be a polynomial of degree n having no zero in , , then Qazi [Proc. Amer. Math. Soc., 115 (1992), 337-343] proved . In this paper, we first extend the above inequality to polar derivative of a polynomial. Further, as an application of our result, we extend a result due to Dewan et al. [Southeast Asian Bull. Math., 27 (2003), 591-597] to polar derivative.Let , , be a polynomial of degree n having no zero in , , then Qazi [Proc. Amer. Math. Soc., 115 (1992), 337-343] proved . In this paper, we first extend the above inequality to polar derivative of a polynomial. Further, as an application of our result, we extend a result due to Dewan et al. [Southeast Asian Bull. Math., 27 (2003), 591-597] to polar derivative.

关 键 词：POLYNOMIALS INEQUALITIES POLAR DERIVATIVE of a POLYNOMIAL ZEROS 

分 类 号：O1[理学—数学]