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The application of the pseudostate-close-coupling method using a non-orthogonal Laguerre-L^2 basis for electron-helium scattering
Differential and total cross sections Elastic and excitation
2010/9/25
Differential and total cross sections for elastic and excitation from the ground state to n ≤ 2 states of atomic helium by electrons are computed for incident energies in the range from 5 to 50 eV. Th...
Generalized Laguerre polynomials collocation method for solving Lane-Emden equation
Lane-Emden equation Generalized Laguerre polynomials
2010/9/14
In this paper we propose, a collocation method for solving nonlinear singular Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infnite interval. This approach is based o...
Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues
Laguerre polynomials Zeros q-Laguerre polynomials Inequalities
2008/7/1
Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues.
Iterated Turan and Laguerre Inequalities
Laguerre-Pólya class Multiplier sequence Hankel matrix Real zeros
2008/6/30
New inequalities are investigated for real entire functions in the Laguerre-Pólya class. These are generalizations of the classical Turán and Laguerre inequalities. They provide necessary conditions f...