Chebyshev polynomials corresponding to a semi-infinite interval and an exponential weight factor
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- by David W. Kammler PDF
- Math. Comp. 27 (1973), 633-637 Request permission
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 $n \leqq 10$.References
- David W. Kammler, A minimal decay rate for solutions of stable $n$th order homogeneous differential equations with constant coefficients, Proc. Amer. Math. Soc. 48 (1975), 145–151. MR 369810, DOI 10.1090/S0002-9939-1975-0369810-9
- Günter Meinardus, Approximation of functions: Theory and numerical methods, Expanded translation of the German edition, Springer Tracts in Natural Philosophy, Vol. 13, Springer-Verlag New York, Inc., New York, 1967. Translated by Larry L. Schumaker. MR 0217482
- I. P. Natanson, Constructive function theory. Vol. I. Uniform approximation, Frederick Ungar Publishing Co., New York, 1964. Translated from the Russian by Alexis N. Obolensky. MR 0196340
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 633-637
- MSC: Primary 65D20
- DOI: https://doi.org/10.1090/S0025-5718-1973-0329204-5
- MathSciNet review: 0329204