关于 Gegenbauer 多项式的 $L^2$-范数

Damir Ferizović

doi:10.1007/s40096-021-00398-1

关于 Gegenbauer 多项式的 $L^2$-范数

经典分析与常微分方程 2021-04-23 v2

作者: Damir Ferizović

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

Gegenbauer 多项式，亦称超球多项式，常出现于数值分析或插值中。本文中我们给出了其 $L^2$ -范数的递推公式并计算了其渐近行为。

关键词

Gegenbauer 多项式超球多项式 $L^2$-范数递推公式渐近行为

引用

@article{arxiv.1909.08121,
  title  = {On the $L^2$-norm of Gegenbauer polynomials},
  author = {Damir Ferizović},
  journal= {arXiv preprint arXiv:1909.08121},
  year   = {2021}
}

备注

7 pages. The power of the rest term in Corollary 1.4 was wrong as stated and has been corrected. Also, Corollary 1.4 was extended, and its proof streamlined. My email was added and the acknowledgment was modified. A minor typo was corrected, a reference updated

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