English

A note on interpolation series in the complex domain

Complex Variables 2012-02-28 v1

Abstract

Given a convergent sequence of nodes we present a one-dimensional-holomorphic-function version of the Newton interpolation method of polynomials. It also generalises the Taylor and the Laurent formula. In other words, we present an effective identity theorem for complex domains.

Keywords

Cite

@article{arxiv.1202.5924,
  title  = {A note on interpolation series in the complex domain},
  author = {Tomasz Sobieszek},
  journal= {arXiv preprint arXiv:1202.5924},
  year   = {2012}
}

Comments

5 pages. It is quite likely this result is known. But then, perhaps the proof is not

R2 v1 2026-06-21T20:25:36.079Z