# Growth of polynomials whose zeros are outside a circle

Annales UMCS, Mathematica (2008)

- Volume: 62, Issue: 1, page 61-65
- ISSN: 2083-7402

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topK. Dewan, and Sunil Hans. "Growth of polynomials whose zeros are outside a circle." Annales UMCS, Mathematica 62.1 (2008): 61-65. <http://eudml.org/doc/267998>.

@article{K2008,

abstract = {If p(z) be a polynomial of degree n, which does not vanish in |z| < k, k < 1, then it was conjectured by Aziz [Bull. Austral. Math. Soc. 35 (1987), 245-256] that [...] In this paper, we consider the case k < r < 1 and present a generalization as well as improvement of the above inequality.},

author = {K. Dewan, Sunil Hans},

journal = {Annales UMCS, Mathematica},

keywords = {Polynomials; inequalities; restricted zeros; growth; polynomials},

language = {eng},

number = {1},

pages = {61-65},

title = {Growth of polynomials whose zeros are outside a circle},

url = {http://eudml.org/doc/267998},

volume = {62},

year = {2008},

}

TY - JOUR

AU - K. Dewan

AU - Sunil Hans

TI - Growth of polynomials whose zeros are outside a circle

JO - Annales UMCS, Mathematica

PY - 2008

VL - 62

IS - 1

SP - 61

EP - 65

AB - If p(z) be a polynomial of degree n, which does not vanish in |z| < k, k < 1, then it was conjectured by Aziz [Bull. Austral. Math. Soc. 35 (1987), 245-256] that [...] In this paper, we consider the case k < r < 1 and present a generalization as well as improvement of the above inequality.

LA - eng

KW - Polynomials; inequalities; restricted zeros; growth; polynomials

UR - http://eudml.org/doc/267998

ER -

## References

top- Ankeny, N. C., Rivlin, T. J., On a theorem of S. Bernstein, Pacific J. Math. 5 (1955), 849-852. Zbl0067.01001
- Aziz, A., Growth of polynomials whose zeros are within or outside a circle, Bull. Austral. Math. Soc. 35 (1987), 247-256. Zbl0603.30003
- Govil, N. K., On a theorem of S. Bernstein, Proc. Nat. Acad. Sci. India Sect. A 50 (1980), 50-52. Zbl0493.30003
- Pólya, G., Szegö, G., Aufgaben und Lehrsatze aus der Analysis, Springer-Verlag, Berlin, 1925. Zbl51.0173.01

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