English

Approximation of a function and its derivatives by entire functions

Complex Variables 2019-08-15 v1

Abstract

A simple proof is given of the known fact that an m-times continuously differentiable function on the real line can be approximated along with its derivatives by an entire function and its respective derivatives.

Keywords

Cite

@article{arxiv.1408.6287,
  title  = {Approximation of a function and its derivatives by entire functions},
  author = {Paul M. Gauthier and Julie Kienzle},
  journal= {arXiv preprint arXiv:1408.6287},
  year   = {2019}
}
R2 v1 2026-06-22T05:40:58.204Z