Homogeneous Linear Calculus of Order 1 and a $\lambda$-Taylor Formula
Combinatorics
2025-07-01 v1
Abstract
In this paper, a new calculus on sequences is defined. Also, the -derivative and the -integration are investigated. The fundamental theorem of -calculus is included. A suitable function basis for the -derivative and the -integral is provided, and various properties of this basis are given. A -Taylor formula for functions is given.
Cite
@article{arxiv.2506.22976,
title = {Homogeneous Linear Calculus of Order 1 and a $\lambda$-Taylor Formula},
author = {Ronald Orozco López},
journal= {arXiv preprint arXiv:2506.22976},
year = {2025}
}