Diagonal recursive formula on orthogonal Hermite-Padé table. (Chinese. English summary) Zbl 1424.41010
Summary: The product formula of any two polynomials in an orthogonal polynomial sequence is first established. Under the condition of regularity, the orthogonal Hermite-Padé (H-P) form sequences are recursively constructed along the diagonal in the \(s\)-dimensional orthogonal H-P table. This solves the calculation problem of orthogonal H-P table. The corresponding remainder estimation formula is given.
MSC:
41A10 | Approximation by polynomials |
41A21 | Padé approximation |
42C05 | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis |