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ON SOME COMBINATIONS OF SELF-RECIPROCAL POLYNOMIALS
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 Title & Authors
ON SOME COMBINATIONS OF SELF-RECIPROCAL POLYNOMIALS
Kim, Seon-Hong;
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 Abstract
Let be the set of all monic integral self-reciprocal poly-nomials of degree n whose all zeros lie on the unit circle. In this paper we study the following question: For P(z), Q(z), does there exist a continuous mapping on [0, 1] such that (z) = P(z) and (z) = Q(z)?.
 Keywords
convex combination;polynomials;self-reciprocal polynomials;unit circle;zeros;
 Language
English
 Cited by
 References
1.
H. J. Fell, On the zeros of convex combinations of polynomials, Pacific J. Math. 89 (1980), no. 1, 43-50. crossref(new window)

2.
S. H. Kim, The zeros of certain family of self-reciprocal polynomials, Bull. Korean Math. Soc. 44 (2007), no. 3, 461-473. crossref(new window)

3.
T. Sheil-Small, Complex Polynomials, Cambridge Studies in Advanced Mathematics 75, Cambridge University Press, Cambridge, 2002.