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math.CA2015★ 34 cited
A Generalized Freud Weight
Peter A. Clarkson, Kerstin Jordaan, Abey Kelil
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a generalized Freud weight \[w(x;t)=|x|^{2λ+1}\exp\left(-x^4+tx^2\right),\…
math.CA2015★ 13 cited
Zeros of Quasi-Orthogonal Jacobi Polynomials
Kathy Driver, Kerstin Jordaan
We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by , . We give necessary and sufficient c…