科研之友
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摘要
We analyze the sequence of polynomials defined by the differential-difference equation Pn+1(x) = P%26apos;(n)(x)+x(n+1)P-n(x) asymptotically as n -%26gt; infinity. The polynomials P-n(x) arise in the computation of higher derivatives of the inverse error function inverf (x). We use singularity analysis and discrete versions of the WKB and ray methods and give numerical results showing the accuracy of our formulas.
- 出版日期2012
