迭代积分与Borwein-Chen-Dilcher多项式
Iterated integrals and Borwein-Chen-Dilcher polynomials
摘要：
研究了多项式迭代积分的零点位置和渐近性态。Borwein-Chen-Dilcher多项式在这个问题中起着重要的作用。对于这些多项式，我们找到了它们的强渐近性，并给出了它们的零分布的极限测度。我们应用这些结果描述了参数为$(2α+1)/2$，$α\in \mathbb{Z}_+$的超球多项式迭代积分的零渐近分布.
英文摘要：
We study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein-Chen-Dilcher's polynomials play an important role in this issue. For these polynomials we find their strong asymptotics and give the limit measure of their zero distribution. We apply these results to describe the zero asymptotic distribution of iterated integrals of ultraspherical polynomials with parameters $(2α+1)/2$, $α\in \mathbb{Z}_+$.
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。
