Laguerre projection method for finite Hankel transform of arbitrary order
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- Sorokin, D.V. & Krylov, A.S. MoscowUniv.Comput.Math.Cybern. (2010) 34: 149. doi:10.3103/S0278641910040011
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We propose a modification of the projection method for the problem of inverting finite Hankel transform of arbitrary order. In expanding the solution of an integral equation of the first kind, eigenfunctions corresponding to eigenvalues close to the multiple are replaced with Laguerre functions. These functions are eigenfunctions of Hankel transform on the half-line. Our test calculations demonstrated the effectiveness of the elaborated method.