Inequalities concerning polar derivative of polynomials
Arty Ahuja; K. Dewan; Sunil Hans
Annales UMCS, Mathematica (2011)
- Volume: 65, Issue: 1, page 1-9
- ISSN: 2083-7402
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Abstract
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topArty Ahuja, K. Dewan, and Sunil Hans. "Inequalities concerning polar derivative of polynomials." Annales UMCS, Mathematica 65.1 (2011): 1-9. <http://eudml.org/doc/267631>.
@article{ArtyAhuja2011,
abstract = {In this paper we obtain certain results for the polar derivative of a polynomial [...] , having all its zeros on [...] which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros.},
author = {Arty Ahuja, K. Dewan, Sunil Hans},
journal = {Annales UMCS, Mathematica},
keywords = {Polynomials; maximum modulus; inequalities in the complex domain; polar derivative; inequalities; polynomials; derivative of polynomials},
language = {eng},
number = {1},
pages = {1-9},
title = {Inequalities concerning polar derivative of polynomials},
url = {http://eudml.org/doc/267631},
volume = {65},
year = {2011},
}
TY - JOUR
AU - Arty Ahuja
AU - K. Dewan
AU - Sunil Hans
TI - Inequalities concerning polar derivative of polynomials
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 1
SP - 1
EP - 9
AB - In this paper we obtain certain results for the polar derivative of a polynomial [...] , having all its zeros on [...] which generalizes the results due to Dewan and Mir, Dewan and Hans. We also obtain certain new inequalities concerning the maximum modulus of a polynomial with restricted zeros.
LA - eng
KW - Polynomials; maximum modulus; inequalities in the complex domain; polar derivative; inequalities; polynomials; derivative of polynomials
UR - http://eudml.org/doc/267631
ER -
References
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- Malik, M. A., On the derivative of a polynomial, J. London Math. Soc. 1 (1969), 57-60. Zbl0179.37901
- Mir, A., On extremal properties and location of zeros of polynomials, Ph.D. Thesis submitted to Jamia Millia Islamia, New Delhi, 2002.
- Qazi, M. A., On the maximum modulus of polynomials, Proc. Amer. Math. Soc. 115 (1992), 337-343. Zbl0772.30006
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