Lagrange Inversion and Combinatorial Species with Uncountable Color Palette

Jansen, Sabine; Kuna, Tobias and Tsagkarogiannis, Dimitrios (2021): Lagrange Inversion and Combinatorial Species with Uncountable Color Palette. In: Annales Henri Poincare, Vol. 22, No. 5: pp. 1499-1534

Abstract

We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and draw connections with similar approaches in a range of applications.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English