Polar Derivative Versions of Polynomial Inequalities

Barchand Chanam^*

Department of Basic Sciences and Humanities, National Institute of Technology, Manipur, India.

DOI: 10.4236/apm.2015.512068                

Abstract

Let be a polynomial of degree n and for a complex number , let  denote the polar derivative of the polynomial  with respect to . In this paper, first we extend as well as generalize the result proved by Dewan and Mir [Inter. Jour. Math. and Math. Sci., 16 (2005), 2641-2645] to polar derivative. Besides, another result due to Dewan et al. [J. Math. Anal. Appl. 269 (2002), 489-499] is also extended to polar derivative.

Keywords

Polynomials, Polar Derivative of a Polynomial, Zeros, Extremal Polynomials

Conflicts of Interest

The authors declare no conflicts of interest.

References

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