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Laguerre polynomials

Known as: Sonine polynomial, Laguerrel, Generalized Laguerre polynomial 
In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 - 1886), are solutions of Laguerre's equation: which is a second-order… Expand
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Highly Cited
2012
Highly Cited
2012
It has been recently discovered that exceptional families of Sturm-Liouville orthogonal polynomials exist, that generalize in… Expand
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Highly Cited
2010
Highly Cited
2010
Recent discoveries concerning rotating (helical) phase fronts and orbital angular momentum (OAM) of laser beams are applied to… Expand
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Highly Cited
2010
Highly Cited
2010
We adapt the notion of the Darboux transformation to the context of polynomial Sturm–Liouville problems. As an application, we… Expand
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Highly Cited
2007
Highly Cited
2007
Fractional differentiation systems are characterized by the presence of non-exponential aperiodic multimodes. Although rational… Expand
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Highly Cited
2000
Highly Cited
2000
  • Jie Shen
  • SIAM J. Numer. Anal.
  • 2000
  • Corpus ID: 31654458
Stable and efficient spectral methods using Laguerre functions are proposed and analyzed for model elliptic equations on regular… Expand
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Highly Cited
1999
Highly Cited
1999
Let L(alpha) be the (semi-infinite) tridiagonal matrix associated with the three-term recursion relation satisfied by the… Expand
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Highly Cited
1997
Highly Cited
1997
Abstract:Multivariable generalizations of the classical Hermite, Laguerre and Jacobi polynomials occur as the polynomial part of… Expand
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Highly Cited
1996
Highly Cited
1996
Approximation of stable linear dynamical systems by means of so-called Laguerre and Kautz functions, which are the Laplace… Expand
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Highly Cited
1985
Highly Cited
1985
The polynomial sets {Y"(x; k)} and { Z"(x; &)}, discussed by Joseph D. E. Konhauser, are biorthogonal over the interval (0, oo… Expand
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1958
1958
This is an excellent little book written with a commendable attention to detail. The authors take pains to indicate frequently… Expand
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