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On Two Sequences of Polynomials Satisfying Certain Recurrence
- Authors
- 김선홍
- Issue Date
- Jun-2012
- Publisher
- 조선대학교 기초과학연구원
- Keywords
- Polynomials; Chebyshev Polynomials; Sequences
- Citation
- 조선자연과학논문집, v.5, no.2, pp 131 - 134
- Pages
- 4
- Journal Title
- 조선자연과학논문집
- Volume
- 5
- Number
- 2
- Start Page
- 131
- End Page
- 134
- ISSN
- 2005-1042
- Abstract
- Bae and Kim displayed a sequence of 4th degree self-reciprocal polynomials whose maximal zeros are related in a very nice and far from obvious way. Kim showed that the auxiliary polynomials in their results are related to Chebyshev polynomials. In this paper, we study two sequences of polynomials satisfying the recurrence of the auxiliary polynomials with generalized initial conditions. We obtain same results with the auxiliary polynomials from a sequence, and some interesting conjectural properties about resultants and discriminants from another sequence.
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