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arXiv 1202.4110math.NTmath.CV
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Stern多项式的零点与收敛连续性

Zeros and convergent subsequences of Stern polynomials

Antonio R. Vargas

摘要:

我们调查Dilcher和Stolarsky的多项式模拟斯特恩双原子序列。基本信息获得有关其零点在平面上的分布。此外,发现了无数的双折射,每个收敛到一个唯一的解析函数上的开放单位盘。因此,我们推广结果Dilcher和Stolarsky从他们的第二篇论文的主题。

英文摘要:

We investigate Dilcher and Stolarsky's polynomial analogue of the Stern diatomic sequence. Basic information is obtained concerning the distribution of their zeros in the plane. Also, uncountably many subsequences are found which each converge to a unique analytic function on the open unit disk. We thus generalize a result of Dilcher and Stolarsky from their second paper on the subject.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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