Open AccessMatrix inversion using orthogonal polynomials
Author(s) -
Ruiming Zhang,
Li-Chen Chen
Publication year - 2011
Publication title -
arab journal of mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.353
H-Index - 11
eISSN - 2588-9214
pISSN - 1319-5166
DOI - 10.1016/j.ajmsc.2010.12.001
Subject(s) - mathematics , orthogonal polynomials , classical orthogonal polynomials , discrete orthogonal polynomials , wilson polynomials , hahn polynomials , pure mathematics , gegenbauer polynomials , jacobi polynomials , algebra over a field
In this note we explicitly evaluate the determinants and inverses of certain matrices that generalize Hilbert matrices by exploiting the relationship between the kernel polynomials of some system of orthogonal polynomials and their associated Hankel matrices
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