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The zero sets of (D + a) n g(t) with D = d/dt in the (t, a)-plane are investigated for g(t) = te αt (e t − 1) −1 and g(t) = e θt (e t + 1) −1. The results are used to determine entire interpolations to functions x n + e −λx , which give representations for the best approximation and best one-sided approximation from the class of functions of exponential… (More)

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