Wen-Hua Zhao

activity

20022022

most citedSome Results on the Vanishing Conjecture of Differential Operators with Constant Coefficients

10 citations · 72 across the 23 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.CV2009★ 8 cited

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…

math.CV2009

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…

math.CV2002

Exponential Formulas for the Jacobians and Jacobian Matrices of Analytic Maps

Wenhua Zhao

Let $F = (F_{1}, F_{2}, ... F_{n})$ be an $n$ -tuple of formal power series in $n$ variables of the form $F (z) = z + O (∣ z ∣^{2})$ . It is known that there exists a unique formal differential opera…

math.CV2002

D-log and formal flow for analytic isomorphisms of n-space

David Wright, Wenhua Zhao

Given a formal map $F = (F_{1} ..., F_{n})$ of the form $z + higher$ order terms, we give tree expansion formulas and associated algorithms for the D-Log of F and the formal flow F_t.…