Chebyshev-like polynomials satisfying fourth-order linear recurrences: Zeros and Hankel determinants

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dc.contributor.authorOnyango, Michael
dc.date.accessioned2021-05-07T11:13:14Z
dc.date.available2021-05-07T11:13:14Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya.en_US
dc.description.abstractWe study sequences of polynomials that satisfy certain fourth-order linear recurĀ­ rences with a parameter c. We show that for c real, their zeros lie on two concentric and inversely related circles. The associated n x n Hankel determinants are deterĀ­ mined. Here, the 2 x 2 case is the most challenging, and has an intriguing connection with questions concerning sets of polynomials with all roots on the unit circle. These polynomials arise from Chebyshevian modifications of finite geometric series.en_US
dc.description.sponsorshipSchool of Mathematics, Maseno University, Kenya.en_US
dc.identifier.urihttp://hdl.handle.net/11071/10460
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.titleChebyshev-like polynomials satisfying fourth-order linear recurrences: Zeros and Hankel determinantsen_US
dc.typeArticleen_US
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