On the zeros of subrange Jacobi polynomials

被引：0
作者：
Walter Gautschi
机构：
[1] Purdue University,Department of Computer Science
来源：
Numerical Algorithms | 2018年 / 79卷
关键词：
Subrange Jacobi polynomials; Zeros; Monotonicity; 33C47; 65D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
All positive zeros of subrange Jacobi polynomials, orthogonal on [−c, c], 0 < c < 1, with respect to the weight function w(x) = (1 − x)α(1 + x)β, α > − 1, β > − 1, are shown in the ultraspherical case α = β, and partly conjectured in the general case α < β, to be monotonically increasing as functions of c.
引用
收藏
页码：759 / 768
页数：9
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