10 citations · 72 across the 23 of their papers we have counts for
5 papers · 1 filter
New Proofs for the Abhyankar-Gurjar Inversion Formula and the Equivalence of the Jacobian Conjecture and the Vanishing Conjecture
Wenhua Zhao
We first give a new proof and also a new formulation for the Abhyankar-Gurjar inversion formula for formal maps of affine spaces. We then use the reformulated Abhyankar-Gurjar form…
A Deformation of Commutative Polynomial Algebras in Even Numbers of Variables
Wenhua Zhao
We introduce and study a deformation of commutative polynomial algebras in even numbers of variables. We also discuss some connections and applications of this deformation to the g…
Some Results on the Vanishing Conjecture of Differential Operators with Constant Coefficients
Arno van den Essen, Roel Willems, Wenhua Zhao
In this paper we prove four cases of the vanishing conjecture of differential operators with constant coefficients and also a conjecture on the Laurent polynomials with no holomorp…
Generalizations of the Image Conjecture and the Mathieu Conjecture
Wenhua Zhao
We first propose a generalization of the image conjecture [Z3] for the commuting differential operators related with classical orthogonal polynomials. We then show that the non-tri…
Images of Commuting Differential Operators of Order One with Constant Leading Coefficients
Wenhua Zhao
We first study some properties of images of commuting differential operators of polynomial algebras of order one with constant leading coefficients. We then propose what we call th…