# 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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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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- Dewan, K. K., Mir, A., Note on a theorem of S. Bernstein, Southeast Asian Bulletin of Math. 31 (2007), 691-695. Zbl1150.30001
- Govil, N. K., On the theorem of S. Bernstein, J. Math. Phys. Sci. 14 (1980), 183-187. Zbl0444.30007
- Govil, N. K., Rahman, Q. I., Functions of exponential type not vanishing in a half plane and related polynomials, Trans. Amer. Math. Soc. 137 (1969), 501-517. Zbl0189.08502
- Jain, V. K., On polynomials having zeros in closed exterior or interior of a circle, Indian J. Pure Appl. Math. 30 (1999), 153-159. Zbl0960.30004
- 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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