Frobenius-Padé approximants for d-orthogonal series: Theory and computational aspects

This work is about Frobenius-Padé approximants for series of orthogonal polynomials of dimension d(d∈N). 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.