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On the convergence of
rational functions which interpolate in the roots of
unity
Edward Barry Saff and J. L. Walsh |
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Vol. 45 (1973), No. 2, 639–641
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Abstract |
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Results are obtained on the existence and convergence of certain types of rational functions which interpolate in the roots of unity to a function f which is meromorphic in |z| < 1 and continuous on |z|≦ 1. The theorems presented extend results of Fejér and Walsh and Sharma on interpolating polynomials. |
Mathematical Subject Classification
Primary: 30A80
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Milestones
Published: 1 April 1973
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Authors |
| Edward Barry Saff | |
| J. L. Walsh | |
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