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Jointly orthogonal polynomials
Author(s) -
Felder Giovanni,
Willwacher Thomas
Publication year - 2015
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdv006
Subject(s) - orthogonal polynomials , orthogonality , classical orthogonal polynomials , mathematics , discrete orthogonal polynomials , hahn polynomials , wilson polynomials , gegenbauer polynomials , product (mathematics) , inner product space , extension (predicate logic) , jacobi polynomials , pure mathematics , algebra over a field , characterization (materials science) , difference polynomials , computer science , physics , geometry , optics , programming language
The theory of polynomials orthogonal with respect to one inner product is classical. We discuss the extension of this theory to multiple inner products. Examples include the Lamé and Heine–Stieltjes polynomials. As a consequence, we give a new characterization of these classical families of polynomials by their orthogonality properties, without reference to differential equations.