On quasi-orthogonal polynomials of order r

• Published in: Integral transforms and special functions Vol. 27; no. 9; pp. 747 - 765
• Main Author: Draux, A.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 01.09.2016; Taylor & Francis Ltd
• Subjects: determinantal expression; Functionals; Functions (mathematics); Integrals; Mathematical analysis; Mathematics; non-quasi-definite moment functional; Numerical Analysis; Polynomials; Quasi-orthogonal polynomial; Sequences; three term recurrence relation; Transforms

The sequences of quasi-orthogonal polynomials of order r are defined for non-quasi-definite moment functionals. Properties concerning the existence of such sequences, and relations between a quasi-orthogonal polynomial of order r and a set of orthogonal polynomials are proved. Two determinantal expr...