C. Brezinski, M. Redivo Zaglia, On the zeros of various kinds of orthogonal polynomials, Annals Numer. Math., 4 (1997) 67-78. Home/Search Document Details and Download
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An Introduction to Formal Orthogonality and Some of Its.. - Brezinski (2002) (Correct)
....are called biorthogonal with respect to the family of linear functionals fL i g [14, 104 113] We have c 00 c 0k . c k 1;0 c k 1;k The recursive computation of these polynomials was considered in [45, 46] and properties of their zeros were discussed in [30]. Particular cases are orthogonal polynomials on an algebraic variety [16] and orthogonal polynomials involving a Sobolev type inner product [51] The concept of biorthogonality was introduced by Banach [5, Chap. VII] Let E be a vector space and E its dual (the vector space of linear ....
C. Brezinski, M. Redivo Zaglia, On the zeros of various kinds of orthogonal polynomials, Annals Numer. Math., 4 (1997) 67-78.
Quasi-Orthogonality With Applications to Some.. - Brezinski, Driver.. (2002) Self-citation (Brezinski) (Correct)
....P n for or 1 and the Laguerre polynomials L n for 1. There are however several generalizations of the notion of orthogonality that do provide at least partial information about the zeros of polynomials, among them quasi orthogonality, biorthogonality and multiple orthogonality [7, 8, 31]. In particular, the Jacobi and Laguerre polynomials are multiple orthogonal with respect to two complex measures and the asymptotic properties of their zeros have been studied [16, 17, 22, 23] Other results in this direction are in progress. In this paper, we will investigate the ....
C. Brezinski, M. Redivo{Zaglia, On the zeros of various kinds of orthogonal polynomials, Ann. Numer. Math., 4 (1997) 67-78.
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