Lidstone interpolation I. One variable

arXiv2303.04514MaRDI QIDQ6428815

Michel Waldschmidt

Publication date: 8 March 2023

Abstract: According to Lidstone interpolation theory, an entire function of exponential type $<pi$ 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.

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05)

Related Items (1)

Lidstone interpolation II. Two variables

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