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Table of Integrals, Series, and Products

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The article was published on 2007-01-01 and is currently open access. It has received 4923 citations till now. The article focuses on the topics: Table (landform).

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A Pearson Random Walk with Steps of Uniform Orientation and Dirichlet Distributed Lengths

TL;DR: In this article, a constrained diffusive random walk of n steps in ℝ 3 and a random flight of n flights in √ 2, √ 3 and √ 4 was investigated, and closed-form expressions for the distribution of the endpoint of the walk were obtained for any n for d = 1,2,4.

Sparse convolution quadrature for time domain boundary integral formulations of the wave equation

TL;DR: In this article, a simple a priori cut-off strategy where small entries of the system matrices are replaced by zero is introduced, where the threshold for the cutoff is determined by an a priora analysis which will be developed in this paper.
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A gyrokinetic model for the plasma periphery of tokamak devices

TL;DR: In this paper, a gyrokinetic model is presented that can properly describe large and small amplitude electromagnetic fluctuations occurring on scale lengths ranging from the electron Larmor radius to the equilibrium perpendicular pressure gradient scale length, and the arbitrarily large deviations from thermal equilibrium that are present in the plasma periphery of tokamak devices.
Journal ArticleDOI

Speech spectral amplitude estimators using optimally shaped Gamma and Chi priors

TL;DR: The parallel examination of four speech enhancement algorithms offers an insight into the relative importance of the employed priors and estimators, as the proposed algorithms are only different with respect to these two elements.
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Particle motion near high-spin black holes

TL;DR: In this paper, the authors study the geodesic equation in the near-horizon extreme Kerr (NHEK) geometry and derive explicit expressions for the angular integrals appearing in the Kerr geometry.