Lidstone插值I.一个变量
Lidstone interpolation I. One variable
摘要：
根据Lidstone插值理论，指数型整函数$<π$由它在$0$和$1$上的偶数阶导数确定.这个理论可以推广到几个变量。在这里，我们调查的理论为一个单一的变量。给出了完整的证明。这第一篇论文的三部曲是致力于单变量Lidstone插值;二元和多元Lidstone插值将是两个即将举行的论文的主题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
