Some Inequalities for Polynomials Vanishing Inside a Circle

Abdullah Mir; Bilal Ahmad Dar

doi:10.15415/mjis.2014.31001

Some Inequalities for Polynomials Vanishing Inside a Circle

Authors

Abdullah Mir Department of Mathematics, University of Kashmir, Srinagar-190006, India
Bilal Ahmad Dar Department of Mathematics, University of Kashmir, Srinagar-190006, India

DOI:

https://doi.org/10.15415/mjis.2014.31001

Keywords:

Inequalities in the complex domain, Polynomials, Extremal prob lems, Zeros

Abstract

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References

Aziz, A. Inequalities for the derivative of a polynomial, Proc. Amer. Math. Soc., 89 (1983), 259-266. http://dx.doi.org/10.1090/S0002-9939-1983-0712634-5

Aziz, A. and Rather, N. A. Inequalities for the derivative of a polynomial, Proc. Indian Acad. Sci.(Math. Sci.), 107, 2 (1997), 189-196.

Frappier, C. Rahman Q. I. and Ruscheweyh, St. New inequalities for polynomials, Trans. Amer. Math. Soc., 288 (1985), 69-99. http://dx.doi.org/10.1090/S0002-9947-1985-0773048-1

Govil, N. K. Inequalities for the derivative of a polynomial, J. Approx. Theory, 63 (1990), 65-71. http://dx.doi.org/10.1016/0021-9045(90)90114-6

Govil, N. K. On the derivative of a polynomial, Proc. Amer. Math. Soc., 41 (1973), 543-546. http://dx.doi.org/10.1090/S0002-9939-1973-0325932-8

Govil N. K. and Rahman, Q. I. Functions of an exponential type not vanishing in a half-plane and related polynomials, Trans. Amer. Math. Soc., 137 (1969), 501- 517. http://dx.doi.org/10.1090/S0002-9947-1969-0236385-6

Malik, M. A. On the derivative of a polynomial, J. London Math. Soc., 2 (1969), 57-60. http://dx.doi.org/10.1112/jlms/s2-1.1.57

Turan, P. Uber die ableitung von polynomen, Composition Math., 7 (1939). 89-95.

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Published

2014-09-20

How to Cite

Abdullah Mir, and Bilal Ahmad Dar. 2014. “Some Inequalities for Polynomials Vanishing Inside a Circle”. Mathematical Journal of Interdisciplinary Sciences 3 (1):1-14. https://doi.org/10.15415/mjis.2014.31001.

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Issue

Vol. 3 No. 1 (2014)

Section

Articles

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