# Ratios of characteristic polynomials in complex matrix models

Akemann G, Pottier A (2004)

J.Phys. A 37(37): L453-L459.

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Akemann, Gernot

^{UniBi}; Pottier, A.Abstract

We compute correlation functions of inverse powers and ratios ofcharacteristic polynomials for random matrix models with complex eigenvalues.Compact expressions are given in terms of orthogonal polynomials in the complexplane as well as their Cauchy transforms, generalizing previous expressions forreal eigenvalues. We restrict ourselves to ratios of characteristic polynomialsover their complex conjugate.

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Akemann G, Pottier A. Ratios of characteristic polynomials in complex matrix models.

*J.Phys. A*. 2004;37(37):L453-L459.Akemann, G., & Pottier, A. (2004). Ratios of characteristic polynomials in complex matrix models.

*J.Phys. A*,*37*(37), L453-L459.Akemann, G., and Pottier, A. (2004). Ratios of characteristic polynomials in complex matrix models.

*J.Phys. A*37, L453-L459.Akemann, G., & Pottier, A., 2004. Ratios of characteristic polynomials in complex matrix models.

*J.Phys. A*, 37(37), p L453-L459.G. Akemann and A. Pottier, “Ratios of characteristic polynomials in complex matrix models”,

*J.Phys. A*, vol. 37, 2004, pp. L453-L459.Akemann, G., Pottier, A.: Ratios of characteristic polynomials in complex matrix models. J.Phys. A. 37, L453-L459 (2004).

Akemann, Gernot, and Pottier, A. “Ratios of characteristic polynomials in complex matrix models”.

*J.Phys. A*37.37 (2004): L453-L459.
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arXiv math-ph/0404068