Publications de l'Institut Mathématique, Nouvelle Série Vol. 99(113), pp. 287–294 (2016) 

ON THE LOCATION OF THE ZEROS OF CERTAIN POLYNOMIALSS. D. Bairagi, Vinay Kumar Jain, T. K. Mishra, L. SahaMathematics Department, IIT Kharagpur, IndiaAbstract: We extend Aziz and Mohammad's result that the zeros, of a polynomial $P(z)=\sum_{j=0}^na_jz^j$, $ta_j\geq a_{j1}>0$, $j=2,3,\dots,n$ for certain $t$ (${}>0$), with moduli greater than $t(n1)/n$ are simple, to polynomials with complex coefficients. Then we improve their result that the polynomial $P(z)$, of degree $n$, with complex coefficients, does not vanish in the disc
Keywords: simple zeros; zero free region; refinement; upper bound for moduli of all zeros Classification (MSC2000): 30C15; 30C10 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.
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