Vector Orthogonal Polynomials of Dimension -d
Vector orthogonal polynomials of dimension -d where d is a nonzero positive integer are defined. They are proved to satisfy a recurrence relation with d + 2 terms. A Shohat-Favard type theorem and a QD like algorithm are given.
KeywordsOrthogonal polynomials biorthogonality recurrence relations
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- Brezinski C. Biorthogonality and its Applications to Numerical Analysis. Marcel Dekker, New York, 1991.Google Scholar
- Brezinski C. Formal orthogonality on an algebraic curve. Annals of Numer. Math. To appear.Google Scholar
- Brezinski C., Redivo Zaglia M. Orthogonal polynomials of dimension —1 in the non-definite case. Rend. Mat. Roma, ser. VII, 13, 1993. To appear.Google Scholar
- Draux A. Polynômes Orthogonaux Formels-Applications. LNM 974, Springer Verlag, Berlin, 1987.Google Scholar