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Showing 1 to 4 of 4 for “"Laguerre polynomials"”.
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On A Conjecture of Pal Turan and Investigations Into Galois Groups of Generalized Laguerre Polynomials
… polynomial. Th problem remains open for polynomials with degree greater than 35. A. Schinzel, in 1970, reformulated Turan's conjecture and subsequently proved the same. In the first part of this dissertation we give a refinement of Schinzel's result.</p> <p>In the second half we …
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A study of local approximations in information theory
… white Gaussian noise channels are Hermite polynomials, and the singular vectors of Poisson channels are Laguerre polynomials. We characterize the set of infinite alphabet channels whose singular value decompositions produce singular vectors that are orthogonal polynomials by providing …
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Laguerre functions associated to Euclidean Jordan algebras
Certain differential recursion relations for the Laguerre functions, defined on a symmetric cone Ω, can be derived from the representations of a specific Lie algebra on L<sup>2</sup>(Ω,dμ<sub>v</sub>). This Lie algebra is the corresponding Lie algebra of the Lie group G that acts on the tube domain …