Algebraic structure behind Odrzywołek's EML operator
arXiv:2604.2389356.71 citations
AI Analysis
This is a theoretical contribution for mathematicians studying the algebraic foundations of elementary functions, but it is incremental as it analyzes an existing operator without demonstrating new applications or improvements.
The paper reveals the algebraic structure of Odrzywołek's EML operator, showing it combines an abelian group and functional inverse to generate elementary functions recursively.
The binary EML operator yields all (transcendental) elementary functions by recursive application, or a binary tree. The structure of the operator itself carries two distinct ingredients: that of an abelian group, and of functional inverse, which reveal a constructive path to many distinct functional families.