English

Dendriform Equations

Combinatorics 2010-10-27 v2 Mathematical Physics Classical Analysis and ODEs math.MP

Abstract

We investigate solutions for a particular class of linear equations in dendriform algebras. Motivations as well as several applications are provided. The latter follow naturally from the intimate link between dendriform algebras and Rota-Baxter operators, e.g. the Riemann integral or Jackson's q-integral.

Keywords

Cite

@article{arxiv.0805.0762,
  title  = {Dendriform Equations},
  author = {Kurusch Ebrahimi-Fard and Dominique Manchon},
  journal= {arXiv preprint arXiv:0805.0762},
  year   = {2010}
}

Comments

improved version

R2 v1 2026-06-21T10:37:50.960Z