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 ...
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...
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...
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...
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,...