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Showing 1 to 9 of 9 for “"Bessel function"”.
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The unramified principal series of p-adic groups : the Bessel function
… unramified principal series of G known as the "Bessel function" at torus elements of dominant coweight. I show that the Bessel function shares many properties with the Macdonald spherical function of G, in particular the properties described in Casselman's 1980 evaluation of that function. The …
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Integral Representations of the Extended Airy Integral Type for the Modified Bessel Function
Made available in DSpace on 2014-12-09T22:17:21Z (GMT). No. of bitstreams: 1 6511771.pdf: 1319791 bytes, checksum: f25040f3e225e93b5dc705b244797355 (MD5) Previous issue date: 1965
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Some Problems Concerning the Generalized Hyperbolic and Related Distributions
… Firstly, the presence of the modified Bessel function of the second kind Kλ (z) in the density function of these distributions has been known to be one of the challenges for research e ort. Here, the approach is to obtain a reliable algorithm which, for a given /λ/∈ [0,90], can identify …
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Lattice points in disks and strongly convex domains
… oscillatory integrals and more specifically for Bessel functions. After examining the geometrical method for precisely counting the number of lattice points inside a disk of radius R, we use the Poisson Summation Formula and the Bessel function results to prove initial bounds on the lattice point …
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The charge migration in biomolecules
… in a simplified mode]. We use the Wannier function to represent the access charge, say a hole, made initially at some localized region and the time evolution is described by the time - dependent Wannier function. It is shown that the hole or the access electron in the polyconjugated chain …
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Computational modelling of the vortex state in high-temperature superconductors
… lattice summation technique applicable for a K0-Bessel function interaction potential.<br/><br/>Using these methods, we investigate a two-dimensional vortex system driven over a weak random potential. We observe the moving Bragg glass regime, and study the recently predicted critical transverse …
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Multi-dimensional Channel Parameter Estimation for mmWave Cylindrical Arrays
… By exploiting the convergence property of the Bessel function, the designed beamformers can preserve the recurrence relationship of the received signals with a small number of radio frequency (RF) chains. We then arrange the received signals in a tensor form and propose a new tensor-based …
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State-of-the-art REDOR and TEDOR methods for elucidation of protein structure and interactions
… determination is vital for elucidating their function, folding or misfolding pathways, and their interaction with other biomolecules, small molecules and membranes. In the field of neurodegenerative disorders like Parkinson’s Disease and Alzheimer’s Disease, amyloid fibrils that constitute the …
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Transformation formulas associated with integrals involving the Riemann Ξ-function and rank-crank type PDEs in partition theory
… formulas involving various special functions such as the digamma function, Hurwitz zeta function and modified Bessel functions, through integrals involving the Riemann $\Xi$-function. Our motivation is a beautiful formula involving the digamma and the Riemann $\Xi$-functions found on …