Orthogonal polynomials of dimension $d=-1$ are particular case of vector orthogonal polynomials which are, themselves, a particular case of biorthogonal polynomials. In this paper, we give the three-term recurrence relationship satisfied by these polynomials in the non-definite case, that is when some of them do not exist. Orthogonal polynomials of dimension $-1$ generalize orthogonal polynomials on the unit circle.
Orthogonal polynomials of dimension -1 in the non definite case
REDIVO ZAGLIA, MICHELA
1994
Abstract
Orthogonal polynomials of dimension $d=-1$ are particular case of vector orthogonal polynomials which are, themselves, a particular case of biorthogonal polynomials. In this paper, we give the three-term recurrence relationship satisfied by these polynomials in the non-definite case, that is when some of them do not exist. Orthogonal polynomials of dimension $-1$ generalize orthogonal polynomials on the unit circle.
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