D-Log and Formal Flow for Analytic Isomorphisms of N-Space

Authors

David Wright, Washington University in St Louis
Wenhua Zhao, Illinois State University

Author's Department

Mathematics

Document Type

Article

Publication Date

2003

Abstract

Given a formal map of the form terms, we give tree expansion formulas and associated algorithms for the D-Log of and the formal flow . The coefficients that appear in these formulas can be viewed as certain generalizations of the Bernoulli numbers and the Bernoulli polynomials. Moreover, the coefficient polynomials in the formal flow formula coincide with the strict order polynomials in combinatorics for the partially ordered sets induced by trees. Applications of these formulas to the Jacobian Conjecture are discussed.

Comments

First published in Transactions of the American Mathematical Society 355 (2003) no. 8, 3117-3141, published by the American Mathematical Society. © Copyright 2003 American Mathematical Society

Recommended Citation

Wright, David and Zhao, Wenhua, "D-Log and Formal Flow for Analytic Isomorphisms of N-Space" (2003). Mathematics Faculty Publications. 3.
https://openscholarship.wustl.edu/math_facpubs/3

Embargo Period

5-15-2012