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SELF-RECIPROCAL POLYNOMIALS WITH RELATED MAXIMAL ZEROS
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 Title & Authors
SELF-RECIPROCAL POLYNOMIALS WITH RELATED MAXIMAL ZEROS
Bae, Jaegug; Kim, Seon-Hong;
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 Abstract
For each real number > 6, we prove that there is a sequence of fourth degree self-reciprocal polynomials such that the zeros of are all simple and real, and every has the largest (in modulus) zero where and are the first and the second largest (in modulus) zeros of , respectively. One such sequence is given by so that , where and other are polynomials in n defined by the severely nonlinear recurrence for , with the usual empty product conventions, i.e., .
 Keywords
self-reciprocal polynomials;polynomials;sequences;
 Language
English
 Cited by
 References
1.
T. Sheil-Small, Complex Polynomials, Cambridge Studies in Advaced Mathematics 73, Cambridge University Press, Cambridge, 2002.