Generating functions from the point of view of Rota-Baxter algebras

Research output: Contribution to conferencePaperpeer-review

Abstract

We study generating functions in the context of Rota-Baxter algebras. We show that exponential generating functions can be naturally viewed in a special free complete Rota-Baxter algebra. This allows us to use free Rota-Baxter algebras to give a wide class of algebraic structures where generalizations of generating functions can be studied. We illustrate this by several cases and examples.

Original languageEnglish (US)
StatePublished - 2007
Event19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07 - Tianjin, China
Duration: Jul 2 2007Jul 6 2007

Other

Other19th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'07
CountryChina
CityTianjin
Period7/2/077/6/07

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Divided powers
  • Exponential generating functions
  • Free Rota-Baxter algebras
  • Shuffle products
  • Stirling numbers

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