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JAT
2010
39views more  JAT 2010»
13 years 7 months ago
On spectral polynomials of the Heun equation. I
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 ...
Boris Shapiro, Milos Tater
JAT
2010
82views more  JAT 2010»
13 years 7 months ago
The Laguerre-Sobolev-type orthogonal polynomials
In this paper we find the second order linear differential equation satisfied by orthogonal polynomials with respect to the inner product p, q = ∞ 0 p(x)q(x)xα e−x dx + Mp...
Herbert Dueñas, Francisco Marcellán
JAT
2010
61views more  JAT 2010»
13 years 7 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel
JAT
2010
63views more  JAT 2010»
13 years 7 months ago
Symmetric box-splines on the A*n lattice
Sampling and reconstruction of generic multivariate functions is more efficient on non-Cartesian root lattices, such as the BCC (Body-Centered Cubic) lattice, than on the Cartesia...
Minho Kim, Jörg Peters
JAT
2010
60views more  JAT 2010»
13 years 7 months ago
Growth properties of Nevanlinna matrices for rational moment problems
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,...
Adhemar Bultheel, Pablo González-Vera, Erik...