We consider polynomials that are orthogonal on [âˆ’1, 1] with respect to a modified Jacobi weight (1 âˆ’ x)Î±(1 + x)Î²h(x), with Î±, Î² > âˆ’1 and h real analytic and stricly positive on [âˆ’1, 1]. We obtainâ€¦ (More)

For COURSE PACK and other PERMISSIONS, refer to entry on previous page. For more information, send e-mail to permissions@pupress.princeton.edu University Press. All rights reserved. No part of thisâ€¦ (More)

We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that wereâ€¦ (More)

We consider Laguerre polynomials L (Î±n) n (nz) with varying negative parameters Î±n, such that the limit A = âˆ’ limn Î±n/n exists and belongs to (0, 1). For A > 1, it is known that the zeros accumulateâ€¦ (More)

We study the asymptotic behavior of Laguerre polynomials L (Î±n) n (nz) as n â†’ âˆž, where Î± n is a sequence of negative parameters such that âˆ’Î± n /n tends to a limit A > 1 as n â†’ âˆž. These polynomialsâ€¦ (More)

We give an explicit formula for the solution to the initial value problem of the full symmetric Toda hierarchy. The formula is obtained by the orthogonalization procedure of SzegÃ¶, and is alsoâ€¦ (More)

We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that wereâ€¦ (More)

We analyze a continuum limit of the nite non-periodic Toda lattice through an associated constrained maximization problem over spectral density functions. The maximization problem was derived byâ€¦ (More)

In this paper, we analyse the way in which social work, as a profession, has coped with and responded to the various forms of regulation to which it has been subject in England. First, we brieflyâ€¦ (More)