The Genetic Sums' Representation for the Moments of a System of Stieltjes Functions and its Application

By Alexander I. Aptekarev, V. Kaliaguine, J. V. Iseghem. 2000

75 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1e2625740b3818ef8207cc890aea75b57f4207f4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. M. Castro
2. Alexander I. Aptekarev
3. F. Alberto Grünbaum
4. Edward B. Saff
5. Arno B. J. Kuijlaars
6. Barry Simon
7. David Damanik
8. Alexander Pushnitski

In Numerical Analysis

1. Alexander I. Aptekarev
2. F. Alberto Grünbaum
3. Edward B. Saff
4. Arno B. J. Kuijlaars
5. Andrei Martínez-Finkelshtein
6. K. Mclaughlin

In Statistical and Nonlinear Physics

1. M. Castro
2. Alexander I. Aptekarev
3. F. Alberto Grünbaum
4. Edward B. Saff
5. Alexander Pushnitski
6. David Damanik
7. Barry Simon
8. A. J. Durán

Citations in the corpus

• Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples (2005, background): “The difficulties brought about by situations when this is not originally the case are the main concern of, for instance, [3] and [ 1 ].”
• Higher-Order Three-Term Recurrences and Asymptotics of Multiple Orthogonal Polynomials (2009, background): “As remarked in [ 3 ], the condition (6) is a su‐cient but not a necessary condition for the existence of such a system of positive measures f„jg p j=1 . One corollary of this theorem”