Some inequalities for the polar derivative of a polynomial with restricted zeros

Journal Title: Journal of Mathematics and Applications - Year 2014, Vol 37, Issue

Abstract

Let p(z) be a polynomial of degree n and for any complex number α, [formula] denote the polar derivative of the polynomial p(z) with respect to α. In this paper, we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our result generalize certain well-known polynomial inequalities.

Authors and Affiliations

Ahmad Zireh, S. Asie Hosseini

Keywords

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  • EP ID EP342557
  • DOI 10.7862/rf.2014.11
  • Views 79
  • Downloads 0

How To Cite

Ahmad Zireh, S. Asie Hosseini (2014). Some inequalities for the polar derivative of a polynomial with restricted zeros. Journal of Mathematics and Applications, 37(), 119-129. https://europub.co.uk/articles/-A-342557