THE ZEROS OF CERTAIN FAMILY OF SELF-RECIPROCAL POLYNOMIALS

Title & Authors
THE ZEROS OF CERTAIN FAMILY OF SELF-RECIPROCAL POLYNOMIALS
Kim, Seon-Hong;

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 $\small{G_r(z)}$ depending on r such that for any r, $\small{0{\leq}r{\leq}1}$, all zeros of $\small{G_r(z)}$ lie on the unit circle and $\small{G_0(z)}$
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
2.
ON THE ZEROS OF SELF-RECIPROCAL POLYNOMIALS SATISFYING CERTAIN COEFFICIENT CONDITIONS,;;

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

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