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    Constructing bispectral dual Hahn polynomials

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    Using the concept of D\mathcal{D}-operator and the classical discrete family of dual Hahn, we construct orthogonal polynomials (qn)n(q_n)_n which are also eigenfunctions of higher order difference operators

    Simulations of Pattern Formation in Vibrated Granular Media

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    We present simulations of peak pattern formation in vibrated two-dimensional (2D) granulates and measure the dispersion relation of the pattern for various frequencies, accelerations, cell sizes, and layer heights. We report the first quantitative data from numerical simulations showing an interesting dependence of the pattern wavelength on the acceleration and the system size. Our results are related to recent experimental findings and theoretical predictions for gravity waves.Comment: 6 pages PS-file including figures, (version accepted at Europhys. Lett. 26.10.96
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