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On some inequalities concerning the polar derivative of a polynomial

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Abstract

In this paper we establish some inequalities concerning to polar derivative of polynomial having all its zeros inside or outside a unit circle and thereby present some compact generalizations of certain well-known polynomial inequalities.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Srinagar, 190006, India

    A. Liman & I. Q. Peer

  2. Jammu and Kashmir Institute of Mathematical Sciences, Srinagar, 190008, India

    W. M. Shah

Authors
  1. A. Liman
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  2. I. Q. Peer
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  3. W. M. Shah
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Correspondence to I. Q. Peer.

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Liman, A., Peer, I.Q. & Shah, W.M. On some inequalities concerning the polar derivative of a polynomial. Ramanujan J 38, 349–360 (2015). https://doi.org/10.1007/s11139-014-9640-1

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  • DOI: https://doi.org/10.1007/s11139-014-9640-1

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