ON INVERSE PROBLEMS FOR ORTHOGONAL POLYNOMIALS .1.

[摘要] Bonan et al. (1987) gave an apparent generalization of semiclassical orthogonal polynomial sequences for positive measures as an inverse problem for orthogonal polynomials. We study a more general situation for regular orthogonal polynomials. The connection between the corresponding linear functions is obtained. The basic result is the semiclassical character of such functionals.

[发布日期] 1993-12-31

[效力级别]  Proceedings Paper

[关键词] ORTHOGONAL POLYNOMIALS;MOMENT FUNCTIONALS;DIFFERENTIAL EQUATIONS