【摘 要】
：
Many fields require the zeros of orthogonal polynomials. In this paper, the middle variable was improved to give a new asymptotic approximation, with error boun
【机 构】
：
Beijing Institute of Graphic Communication
论文部分内容阅读
Many fields require the zeros of orthogonal polynomials. In this paper, the middle variable was improved to give a new asymptotic approximation, with error bounds, for the Jacobi polynomials P(α,β)n(cosθ)(0 ≤θ≤π/2,α,β＞- 1), as n →+ ∞. An accurate approximation with error bounds is also constructed for the zero θn,s of P(α,β)n(cosθ)(α≥ 0,β＞- 1).
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