Geodesic
On the zeros of polynomials and analytic functions
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 65 (2011) no. 1.

Voir la notice de l'article provenant de la source Library of Science

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 
@article{AUM_2011_65_1_a6,
     author = {Lal, Roshan and Kumar, Susheel and Hans, Sunil},
     title = {On the zeros of polynomials and analytic functions},
     journal = {Annales Universitatis Mariae Curie-Sk{\l}odowska. Mathematica },
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a6/}
}
TY  - JOUR
AU  - Lal, Roshan
AU  - Kumar, Susheel
AU  - Hans, Sunil
TI  - On the zeros of polynomials and analytic functions
JO  - Annales Universitatis Mariae Curie-Skłodowska. Mathematica 
PY  - 2011
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a6/
LA  - en
ID  - AUM_2011_65_1_a6
ER  - 
%0 Journal Article
%A Lal, Roshan
%A Kumar, Susheel
%A Hans, Sunil
%T On the zeros of polynomials and analytic functions
%J Annales Universitatis Mariae Curie-Skłodowska. Mathematica 
%D 2011
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a6/
%G en
%F AUM_2011_65_1_a6
Lal, Roshan; Kumar, Susheel; Hans, Sunil. On the zeros of polynomials and analytic functions. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 65 (2011) no. 1. http://geodesic.mathdoc.fr/item/AUM_2011_65_1_a6/

[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.