ON THE ZEROS OF A CLASS OF POLYNOMIALS AND RELATED ANALYTIC FUNCTIONS

(整期优先)网络出版时间:2012-02-12
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InthispaperweprovesomeinterestingextensionsandgeneralizationsofEnestrom-KakeyaTheoremconcerningthelocationofthezerosofapolynomialinacomplexplane.Wealsoobtainsomezero-freeregionsforaclassofrelatedanalyticfunctions.Ourresultsnotonlycontainsomeknownresultsasaspecialcasebutalsoavarietyofinterestingresultscanbededucedinaunifiedwaybyvariouschoicesoftheparameters.