Math. J. Interdiscip. Sci.

Zeros of Lacunary T ype of Polynomials

BA Zargar

KEYWORDS

Lacunary type polynomial, coefficient, zeros.

PUBLISHED DATE March 2017
PUBLISHER The Author(s) 2016. This article is published with open access at www.chitkara.edu.in/publications
ABSTRACT

In this paper we use matrix methods and Gereshgorian disk Theorem to present some interesting generalizations of some well-known results concerning the distribution of the zeros of polynomial. Our results include as a special case some results due to A .Aziz and a result of Simon Reich-Lossar

Page(s) 93–99
URL http://dspace.chitkara.edu.in/jspui/bitstream/1/854/3/MJIS007_Zargar.pdf
ISSN Print : 2278-9561, Online : 2278-957X
DOI 10.15415/mjis.2017.52007
REFERENCES
  • Alzer, H (1995). On the zeros of a Polynomial, J. Approx. Theory, 81, 421–424.
  • Aziz, A. Studies in zeros and Extremal properties of Polynomials, Ph.D. Thesis submitted to Kashmir University, 1981.
  • Bell, Howard E. (1965). Gereshgorian Theorem and the zero of polynomials, Amer. Math. Monthly, 72, 292–295.
  • Cauchy, A.L. Exercises de mathe’matique in ceurres 9(1929), 122.
  • Guggenheimmer, H (1964). On a note of Q.G. Mohammad, Amer. math. monthly, 71, 54–55.
  • Lossers, O.P (1971). Advanced problem 5739,Amer. Math. Monthly, 78, 683–684.
  • Mohammad, Q.G. (1965), On the zeros of polynomials, Amer. Math. Monthly, 72(6), 631–633.
  • Rahman, Q.I. (1970) A Bound for the moduli of the zeros of polynomials, Canad .math. Bull. 13, 541–542.
  • Rahman, Qazi Ibadur and Schmeisser, Gerhard Analytic Theory of Polynomials, Clarendon Press, Oxford, 2002.
  • Walsh, J.L (1924). An inequality for the roots of an algebraic equation. Ann. math. 25, 283–286