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math.CA2008★ 22 cited
Total integrals of global solutions to Painleve II
Jinho Baik, Robert Buckingham, Jeffery DiFranco +1
We evaluate the total integral from negative infinity to positive infinity of all global solutions to the Painleve II equation on the real line. The method is based on the interpla…
math.CA2004
A Riemann-Hilbert Approach to the Akhiezer Polynomials
Y. Chen, A. Its
In this paper we study those polynomials orthogonal with respect to a particular weight over the union of disjoint intervals first introduced by N.I. Akhiezer, via a reformulation…