The intertwined study of orthogonal polynomials and Painlevé equations continues to be a fertile area of research at the confluence of mathematical analysis and theoretical physics. Orthogonal ...
SIAM Journal on Numerical Analysis, Vol. 46, No. 1 (2007/2008), pp. 344-364 (21 pages) New numerical techniques are presented for the solution of a class of linear partial integro-differential ...
We find necessary and sufficient conditions for a spectral differential equation LN[ y ](x) = ∑N i = 1 ℓi(x)y(i)(x) = λn y(x) to have Sobolev orthogonal polynomials of solutions, which are orthogonal ...
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