Co-Recursivity and karlin-McGregor duality for indeterminate moment problems

1996 ◽  
Vol 12 (4) ◽  
pp. 531-553 ◽  
Author(s):  
G. Valent
2011 ◽  
Vol 163 (10) ◽  
pp. 1449-1464
Author(s):  
Christian Berg ◽  
Jacob Stordal Christiansen

2002 ◽  
Vol 91 (1) ◽  
pp. 67 ◽  
Author(s):  
Christian Berg ◽  
Yang Chen ◽  
Mourad E. H. Ismail

In this paper we characterize the indeterminate case by the eigenvalues of the Hankel matrices being bounded below by a strictly positive constant. An explicit lower bound is given in terms of the orthonormal polynomials and we find expressions for this lower bound in a number of indeterminate moment problems.


1995 ◽  
Vol 09 (10) ◽  
pp. 1205-1225 ◽  
Author(s):  
YANG CHEN ◽  
KASPER JUEL ERIKSEN

In this paper we employ the continuum approximation of Dyson to determine the asymptotic gap formation probability in the spectrum of N×N Hermitian matrices associated with orthogonal polynomials that are solutions of indeterminate moment problems. We have shown that the probability, Eβ[J], that an interval J is free of eigenvalues is [Formula: see text] where [Formula: see text]


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