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Representation of some binomial coefficients by polynomials
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Abstract
The unique positive zero of Fm (z) := z2m zm +1 zm 1 1 leads to analogues of 22nk(k even) by using hypergeometric func-tions. The minimal polynomials of these analogues are related to Cheby-shev polynomials, and the minimal polynomial of an analogue of 22nk(k even > 2) can be computed by using an analogue of 22n2. In this pa-per we show that the analogue of 22n2is the only real zero of its minimalpolynomial, and has a dierent representation, by using a polynomial ofsmaller degree than Fm (z).
참고문헌 (2)
- "Factorization of sums of polynomials", 73(3), pp.275~284 (2002)
- "The analogues of some binomial coecients", 34(12), pp.1771~1784 (2003)
관련 논문AI추천
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