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Mathematics of Computation

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Chebyshev polynomials corresponding to a semi-infinite interval and an exponential weight factor

Author: David W. Kammler
Journal: Math. Comp. 27 (1973), 633-637
MSC: Primary 65D20
MathSciNet review: 0329204
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Abstract: An algorithm is presented for the computation of the n zeros of the polynomial ${q_n}$ having the property that ${q_n}(t)\exp \;( - t)$ alternates n times, at the maximum value 1, on $[0, + \infty )$. Numerical values of the zeros and extremal points are given for $n \leqq 10$.

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Keywords: Zeros and extremal points of Chebyshev polynomial on <!– MATH $[0, + \infty )$ –> <IMG WIDTH="73" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$[0, + \infty )$"> with exponential weight, minimal decay rate for exponential sum
Article copyright: © Copyright 1973 American Mathematical Society