Some Extensions of the Eneström-Kakeya Theorem

K.K. Dewan; C.M. Upadhye

doi:https://doi.org/10.14445/22315373/IJMTT-V11P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 11 | Number 1 | Year 2014 | Article Id. IJMTT-V11P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P506

Some Extensions of the Eneström-Kakeya Theorem

K.K. Dewan, C.M. Upadhye

Abstract

The Eneström-Kakeya Theorem states that if p(z)= Σnj=0ajzjis a polynomial satisfying 01. In this paper we present related results by considering polynomials with complex coefficients and by putting restrictions on the arguments and moduli of the coefficients.

Keywords

Polynomials, Zeros, Eneström-Kakeya

References

[1] A. Aziz and B.A. Zargar, Some extensions of Enestörm -Kakeya Theorem, Glasnik Mate., 51 (1996), 239–244.
[2] G.T. Cargo and O. Shisha, Zeros of polynomials and fractional order differences of their coefficients, J. Math. Anal. Appl., 7 (1963), 176–182.
[3] N.K. Govil and Q.I. Rahman, On the Eneström -Kakeya theorem , Tôhoku. Math. J., 20 (1968), 126–136.
[4] A. Joyal, G. Labelle and Q.I. Rahman, On the location of zeros of polynomials, Canad. Math. Bull., 10 (1967), 53–63.

Citation :

K.K. Dewan, C.M. Upadhye, "Some Extensions of the Eneström-Kakeya Theorem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 1, pp. 51-55, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P506