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THE ZEROS OF CERTAIN FAMILY OF SELF-RECIPROCAL POLYNOMIALS
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 Title & Authors
THE ZEROS OF CERTAIN FAMILY OF SELF-RECIPROCAL POLYNOMIALS
Kim, Seon-Hong;
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 Abstract
For integral self-reciprocal polynomials P(z) and Q(z) with all zeros lying on the unit circle, does there exist integral self-reciprocal polynomial depending on r such that for any r, , all zeros of lie on the unit circle and = P(z), = Q(z)? We study this question by providing examples. An example answers some interesting questions. Another example relates to the study of convex combination of two polynomials. From this example, we deduce the study of the sum of certain two products of finite geometric series.
 Keywords
self-reciprocal polynomials;convex combination;zeros;unit circle;
 Language
English
 Cited by
1.
ON SELF-RECIPROCAL POLYNOMIALS AT A POINT ON THE UNIT CIRCLE,;

대한수학회보, 2009. vol.46. 6, pp.1153-1158 crossref(new window)
2.
ON THE ZEROS OF SELF-RECIPROCAL POLYNOMIALS SATISFYING CERTAIN COEFFICIENT CONDITIONS,;;

대한수학회보, 2010. vol.47. 6, pp.1189-1194 crossref(new window)
3.
ON SOME COMBINATIONS OF SELF-RECIPROCAL POLYNOMIALS,;

대한수학회논문집, 2012. vol.27. 1, pp.175-183 crossref(new window)
1.
ON SELF-RECIPROCAL POLYNOMIALS AT A POINT ON THE UNIT CIRCLE, Bulletin of the Korean Mathematical Society, 2009, 46, 6, 1153  crossref(new windwow)
2.
ON SOME COMBINATIONS OF SELF-RECIPROCAL POLYNOMIALS, Communications of the Korean Mathematical Society, 2012, 27, 1, 175  crossref(new windwow)
3.
ON THE ZEROS OF SELF-RECIPROCAL POLYNOMIALS SATISFYING CERTAIN COEFFICIENT CONDITIONS, Bulletin of the Korean Mathematical Society, 2010, 47, 6, 1189  crossref(new windwow)
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