Remarks on some recent results about polynomials with restricted zeros

M. A. Qazi

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)

  • Volume: 67, Issue: 2
  • ISSN: 0365-1029

Abstract

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We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.

How to cite

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M. A. Qazi. "Remarks on some recent results about polynomials with restricted zeros." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 67.2 (2013): null. <http://eudml.org/doc/289814>.

@article{M2013,
abstract = {We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.},
author = {M. A. Qazi},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Polynomials; extremal properties; Bernstein's inequality.},
language = {eng},
number = {2},
pages = {null},
title = {Remarks on some recent results about polynomials with restricted zeros},
url = {http://eudml.org/doc/289814},
volume = {67},
year = {2013},
}

TY - JOUR
AU - M. A. Qazi
TI - Remarks on some recent results about polynomials with restricted zeros
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2013
VL - 67
IS - 2
SP - null
AB - We point out certain flaws in two papers published in Ann. Univ. Mariae Curie-Skłodowska Sect. A, one in 2009 and the other in 2011. We discuss in detail the validity of the results in the two papers in question.
LA - eng
KW - Polynomials; extremal properties; Bernstein's inequality.
UR - http://eudml.org/doc/289814
ER -

References

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  1. Ahuja, A., Dewan, K. K., Hans, S., Inequalities concerning polar derivative of polynomials, Ann. Univ. Mariae Curie-Skłodowska Sect. A 65 (2011), 1–9. 
  2. Dewan, K. K., Hans, S., On maximum modulus for the derivative of a polynomial, Ann. Univ. Mariae Curie-Skłodowska Sect. A 63 (2009), 55–62. 
  3. Govil, N. K., On the derivative of a polynomial, Proc. Amer. Math. Soc. 41 (1973), 543–546. 
  4. Govil, N. K., On a theorem of S. Bernstein, J. Math. Phys. Sci. 14 (1980), 183–187. 
  5. Rahman, Q. I., Schmeisser, G., Analytic Theory of Polynomials, Clarendon Press, Oxford, 2002. 

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