Lidstone interpolation I. One variable
Abstract
According to Lidstone interpolation theory, an entire function of exponential type <π is determined by it derivatives of even order at 0 and 1. This theory can be generalized to several variables. Here we survey the theory for a single variable. Complete proofs are given. This first paper of a trilogy is devoted to Univariate Lidstone interpolation; Bivariate and Multivariate Lidstone interpolation will be the topic of two forthcoming papers.
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