English

A note on the q-derivative operator

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We prove a formula for the nth power of the q-derivative operator at x=0 for every function whose nth derivative at x=0 exists. We give a proof in both the real variable and the complex variable case.

Cite

@article{arxiv.math/9908140,
  title  = {A note on the q-derivative operator},
  author = {J. Koekoek and R. Koekoek},
  journal= {arXiv preprint arXiv:math/9908140},
  year   = {2007}
}

Comments

7 pages