ArticleOriginal scientific text

Title

On the zeros of polynomials and analytic functions

Authors , ,

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.

Keywords

Polynomial, analytic function, zeros

Bibliography

  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.
Main language of publication
English
Published
2011
Published online
2016-07-25
Exact and natural sciences