Lidstone interpolation I. One variable
Complex Variables
2023-03-09 v1 Number Theory
Abstract
According to Lidstone interpolation theory, an entire function of exponential type is determined by it derivatives of even order at and . 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.
Cite
@article{arxiv.2303.04514,
title = {Lidstone interpolation I. One variable},
author = {Michel Waldschmidt},
journal= {arXiv preprint arXiv:2303.04514},
year = {2023}
}
Comments
19 pages