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JAT
2010
13 years 2 months ago
2010
The classical Heun equation has the form Q(z) d2 dz2 + P (z) d dz + V (z) ff S(z) = 0, where Q(z) is a cubic complex polynomial, P (z) is a polynomial of degree at most 2 and ...
JAT
2010
2010
Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
13 years 2 months ago
Abstract: Inner products of the type f, g S = f, g ψ0 + f , g ψ1 , where one of the measures ψ0 or ψ1 is the measure associated with the Jacobi polynomials, are usually referre...
JAT
2010
13 years 2 months ago
2010
We consider rational moment problems on the real line with their associated orthogonal rational functions. There exists a Nevanlinna type parameterization relating to the problem,...
JAT
2010
12 years 11 months ago
2010
We describe the theoretical solution of an approximation problem that uses a finite weighted sum of complex exponential functions. The problem arises in an optimization model for t...
JAT
2010
13 years 2 months ago
2010
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite–Pad´e approximation scheme. Associated with any totally ...