On the zeros of polynomials and analytic functions

Roshan Lal; Susheel Kumar; Sunil Hans

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2011)

  • Volume: 65, Issue: 1
  • ISSN: 0365-1029

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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 65.1 (2011): null. <http://eudml.org/doc/289832>.

@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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Polynomial; analytic function; zeros},
language = {eng},
number = {1},
pages = {null},
title = {On the zeros of polynomials and analytic functions},
url = {http://eudml.org/doc/289832},
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 Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2011
VL - 65
IS - 1
SP - null
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
UR - http://eudml.org/doc/289832
ER -

References

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

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