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A Neumann series of Bessel functions representation for solutions of the radial Dirac system (2008.05035v1)
Published 11 Aug 2020 in math-ph, cs.NA, math.CA, math.MP, and math.NA
Abstract: A new representation for a regular solution of the radial Dirac system of a special form is obtained. The solution is represented as a Neumann series of Bessel functions uniformly convergent with respect to the spectral parameter. For the coefficients of the series convenient for numerical computation recurrent integration formulas are given. Numerical examples are presented.