Frobenius–Padé approximants for d-orthogonal series: Theory and computational aspects Original Research Article

This work is about Frobenius–Padé approximants for series of orthogonal polynomials of dimension dView the MathML source. Concerning the series, we give the projection property of partial sums, show how to compute their coefficients, and how to get the coefficients of the product of a series by a polynomial. Concerning the approximants, we essentially deal with their recursive computation. Also, we give several examples and numerical results.