N. Witte

activity

19972004

most citedNew Transformations for Painlevé's Third Transcendent

4 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing 2003Show all

2 papers · 1 filter

math-ph2003

Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and $N$ -recurrences for averages over U(N) -- \PVI $τ$ -functions

P. J. Forrester, N. S. Witte

The theory of orthogonal polynomials on the unit circle is developed for a general class of weights leading to systems of recurrence relations and derivatives of the polynomials an…

math-ph2003

Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV $τ$ -functions

P. J. Forrester, N. S. Witte

In this work we show that the $N \times N$ Toeplitz determinants with the symbols $z^{μ} exp (- 1/2 t (z + 1/ z))$ and $(1 + z)^{μ} (1 + 1/ z)^{ν} exp (t z)$ -- known $τ$ -functions for th…

Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PVI τ-functions

Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV τ-functions

Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and $N$ -recurrences for averages over U(N) -- \PVI $τ$ -functions

Discrete Painlevé equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV $τ$ -functions