A Sengupta 1984 J. Phys. A: Math. Gen. 17 2743 doi:10.1088/0305-4470/17/14/018
A Sengupta
Show affiliationsDemonstrates how a proper rational fraction approximation to the singular eigenfunction of the neutron transport theory can be constructed based on the properties of generalised functions and singular integral equations. The parameters of the approximant are determined by a proper use of the orthogonality integrals satisfied by the Case eigenfunctions. This ensures the convergence of the approximant to its exact singular distributional form. Use of Lebesgue integrable spaces made in the analysis leads to a new possibility of approximating functions in Lp, 1<p< infinity , and also of finding approximate solutions of singular integral equations.
02.30.Mv Approximations and expansions
40A10 Convergence and divergence of integrals
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
Issue 14 (1 October 1984)
A Sengupta 1984 J. Phys. A: Math. Gen. 17 2743
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