Zero-freeregions for lacunary type polynomials

Author:

Ahmad Malik S.1,Kumar A.1,Ahmad Zargar B.1

Affiliation:

1. University of Kashmir, Srinagar, India

Abstract

This paper aims to set an account of zero-free regions for lacunary type polynomials whose coefficients or their real and imaginary parts are subjected to certain restrictions. We also find bounds concerning the number of zeros in a specific annular region.

Publisher

National Academy of Sciences of the Republic of Armenia

Reference20 articles.

1. A. Aziz and B. A. Zargar, “On the zeros of a class of polynomials and related analytic functions”, Anal. Theory Appl. 28, no. 2, 180 – 188 (2012).

2. A. Aziz and B. A. Zargar, “Bounds for the zeros of a polynomial with restricted coefficients”, Appl. Math., 3, 30 – 33 (2012).

3. A. L. Cauchy, “Exercise de Oeuvres”, 2, no. 9, 122 (1829).

4. Y. Choo, G. K. Choi, “On the zero-free regions of polynomials”, Int. Journal of Math. Analysis, 5, no. 20, 975 – 981 (2011).

5. K. K. Dewan, M. Bidkham, “On Enestr¨om-Kakeya theorem”, J. Math. Anal. Appl. 180, 29 – 36 (1993).

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