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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Partially-orthogonal polynomials


Author: Paul P. Rowe
Journal: Proc. Amer. Math. Soc. 32 (1972), 215-220
MSC: Primary 42.15; Secondary 33.00
MathSciNet review: 0290024
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Abstract: This paper contains a discussion of partially-orthogonal polynomials. This is an extension of the concept of quasi-orthogonal polynomials. Some relationships between various partially-orthogonal polynomials are obtained. The concept of pseudo-polynomials is defined and used as an example of partially-orthogonal polynomials. Polynomials obtained from the simple Laguerre polynomials are also used as an example.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0290024-2
Keywords: Quasi-orthogonal polynomials, partially-orthogonal polynomials, related polynomials, pseudo-polynomials, deficiency, shared zero
Article copyright: © Copyright 1972 American Mathematical Society