18 citations · 42 across the 13 of their papers we have counts for
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math-ph2014★ 18 cited
Periodic Solutions of 2D Isothermal Euler-Poisson Equations with Possible Applications to Spiral and Disk-like Galaxies
Man Kam Kwong, Manwai Yuen
Compressible Euler-Poisson equations are the standard self-gravitating models for stellar dynamics in classical astrophysics. In this article, we construct periodic solutions to th…
math.CA2014★ 6 cited
Sturm Theorem and a Refinement of Vietoris Inequality for Cosine Polynomials
Horst Alzer, Man Kam Kwong
In a recent work, the authors established a refinement of the well-known 1958 result of Vietoris on nonnegative cosine polynomials. In four places of the proof, use was made of the…
math.CA2014★ 8 cited
Nonnegative Trigonometric Polynomials, Sturms Theorem, and Symbolic Computation
Man Kam Kwong
In this paper, we explain a procedure based on a classical result of Sturm that can be used to determine rigorously whether a given trigonometric polynomial is nonnegative in a cer…