General Letters in Mathematics

Related Articles ( Orthogonal polynomials )

Semi-classical Linear Functionals of Class Four: The Symmetric Case

M. Zaatra

In this paper, we obtain all the symmetric semi-classical linear functionals of class four taking into account the irreducible expression of the corresponding Pearson equation. We focus our attention on their integral representations. Thus, some linear functionals very well known in the literature, associated ...

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Spectral Method for the Heat Equation with Axial Symmetry and a Source


In this paper, we present a spectral method for solving the heat equation in cylindrical coordinates in a case where the data are axisymmetric and independent of the z-coordinate at the same time. The spectral method considered is of GalerkintypewithaGauss-Radaunumericalquadratureformula, itisbasedonaweightedweakvariationalformulationofthe ...

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