摘要
将文献[1]中关于Legendre多项式的零点分布定理推广到了Gegenbauer多项式,所述方法也可以推出超球多项式与切比雪夫多项式的类似结果。
The results of this paper improves in[1] on the zero point distribution of Gegenbauer polynomial, we have
Theorem l:The n zero points of Cnv (cosθ) in (0,π) Satisfieg The ineguality
Theorem 2: if 0 < v < 1 , then the zero points of function Cnv (cosθ) satisfies the ineguality chain
Theorem 3:if 0< v< 1.then the zero point of Cnv(cosθ)in(0,π/2) satisfies
出处
《湖南理工学院学报（自然科学版）》
CAS
2003年第2期8-11,共4页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
