On the zeros of polynomials and analytic functions

Roshan Lal; Susheel Kumar; Sunil Hans

Annales UMCS, Mathematica (2011)

  • Volume: 65, Issue: 1, page 97-108
  • ISSN: 2083-7402

Abstract

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For a polynomial of degree n, we have obtained some results, which generalize and improve upon the earlier well known results (under certain conditions). A similar result is also obtained for analytic function.

How to cite

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Roshan Lal, Susheel Kumar, and Sunil Hans. "On the zeros of polynomials and analytic functions." Annales UMCS, Mathematica 65.1 (2011): 97-108. <http://eudml.org/doc/267553>.

@article{RoshanLal2011,
abstract = {For a polynomial of degree n, we have obtained some results, which generalize and improve upon the earlier well known results (under certain conditions). A similar result is also obtained for analytic function.},
author = {Roshan Lal, Susheel Kumar, Sunil Hans},
journal = {Annales UMCS, Mathematica},
keywords = {Polynomial; analytic function; zeros; polynomial},
language = {eng},
number = {1},
pages = {97-108},
title = {On the zeros of polynomials and analytic functions},
url = {http://eudml.org/doc/267553},
volume = {65},
year = {2011},
}

TY - JOUR
AU - Roshan Lal
AU - Susheel Kumar
AU - Sunil Hans
TI - On the zeros of polynomials and analytic functions
JO - Annales UMCS, Mathematica
PY - 2011
VL - 65
IS - 1
SP - 97
EP - 108
AB - For a polynomial of degree n, we have obtained some results, which generalize and improve upon the earlier well known results (under certain conditions). A similar result is also obtained for analytic function.
LA - eng
KW - Polynomial; analytic function; zeros; polynomial
UR - http://eudml.org/doc/267553
ER -

References

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  1. Gardner, R. B., Govil, N. K., Some generalizations of the Eneström-Kakeya theorem, Acta Math. Hungar. 74 (1-2) (1997), 125-134. Zbl0926.30005
  2. Govil, N. K., Rahman, Q. I., On the Eneström-Kakeya theorem, Tôhoku Math. J. 20 (1968), 126-136.[Crossref] Zbl0194.10201
  3. Jain, V. K., On the zeros of a polynomial, Proc. Indian Acad. Sci. Math. Sci. 119 (1) (2009), 37-43. Zbl1173.30005
  4. Joyal, A., Labelle, G. and Rahman, Q. I., On the location of zeros of polynomials, Canadian Math. Bull. 10 (1967), 55-63. Zbl0152.06102
  5. Marden, M., The Geometry of Polynomials, Math. Surveys No. 3, Amer. Math. Soc., Providence, RI, 1966. Zbl0162.37101
  6. Pellet, M.A., Sur un mode de séparation des racines des équations et la formule de Lagrange, Bull. Sci. Math. 5 (1881), 393-395. Zbl13.0074.01

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