Subhasis Das†
Abstract: Let p(z) be a polynomial of degree n with real or complex coefficients. Using the Lacunary type polynomial, Gugenheimer generalized the Cauchy bound concerning the moduli of zeros of a polynomial p (z). Jain further improved the Gugenheimer bound. In the present paper
an attempt to investigate and extend the previous results were made. In many cases we found that the new bounds are much better than some of the other well-known bounds.
MSC: 30C15, 30C10, 26C10.
keywords: Zeros, Cauchy bound, circular region, Lacunary type polynomial.
DOI 10.56082/annalsarscimath.2020.1-2.117
† subhasis091@yahoo.co.in Department of Mathematics, Kurseong College, Kurseong734203, West Bengal, India
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 12 no 1-2, 2020
