期刊论文

中文

南华大学学报(自然科学版)

1673-0062

2011

25

2

52-54

10.19431/j.cnki.1673-0062.2011.02.012

本校为第一机构

设{φn（z））∞n0是首一复正交多项式序列，其中中。的次数为n，n≥1，且中。的零点φn的零点znj,j=1，2，…，n，满足｜=znj｜〈1．本文讨论{φn（z））n∞nm0的正交性，某个比值的有界性和条件｜znj｜〈1，J=1，2，…，几之间的联系．

Let {φn（z） }n∞0 be a series of monic complex polynomials with deg φn = n , such that zn,j ,j = 1,2,--. ,n ,the zeros ofφn ,for each n ≥1, satisfy ｜z,,j ｜ 〈 1 . We es- tablish the relationship between the orthogonality of such a series, the boundness of a cer- tain ratio and the condition ...