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We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be usedâ€¦ (More)

- Sergei A. Abramov, Jacques Carette, Keith O. Geddes, Ha Q. Le
- J. Symb. Comput.
- 2004

This paper is an exposition of different methods for computing closed forms of definite sums. The focus is on recently-developed results on computing closed forms of definite sums of hypergeometricâ€¦ (More)

- Ha Q. Le
- Programming and Computer Software
- 2001

We consider the applicability (or terminating conditions) of the q-analogue of Zeilberger's algorithm and give the complete solution to this problem for the case when the original q-hypergeometricâ€¦ (More)

- Keith O. Geddes, Ha Q. Le, Ziming Li
- ISSAC
- 2004

We describe differential rational normal forms of a rational function and their properties. Based on these normal forms, we present an algorithm which, given a hyperexponential function T(x),â€¦ (More)

- Sergei A. Abramov, Ha Q. Le
- Discrete Mathematics
- 2005

We present an algorithm which computes a non-trivial lower bound for the order of the minimal telescoper for a given hypergeometric term. The combination of this algorithm and techniques fromâ€¦ (More)

- Elena Sanovich, Raymond T. Bartus, Phillip M. Friden, Reginald L. Dean, Ha Q. Le, Milton W. Brightman
- Brain research
- 1995

The route taken by lanthanum (MW 139) across cerebral endothelium was delineated when the blood-brain barrier was opened by RMP-7, a novel bradykinin agonist. Balb C mice were infused through aâ€¦ (More)

- Sergei A. Abramov, Ha Q. Le, Marko Petkovsek
- ISSAC
- 2003

We propose four multiplicative canonical forms that exhibit the shift structure of a given rational function. These forms in particular allow one to represent a hypergeometric term efficiently. Eachâ€¦ (More)

- Ha Q. Le, Paul T. Davidson
- Current clinical topics in infectious diseases
- 1996

- Ha Q. Le, W. D. Goodhue, K. Rauschenbach
- Optics letters
- 1990

Nondegenerate four-wave mixing in a single-mode ridge waveguide has been demonstrated as a technique for simultaneous measurement of the imaginary component and the absolute magnitude of theâ€¦ (More)

The ultrafast, room-temperature, resonance-enhanced third-order nonlinear susceptibility tensor of an AlGaAs/ GaAs quantum well is determined. A single 6-nm GaAs quantum well embedded in a waveguideâ€¦ (More)