Work

Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces

Year: 2025

Type: article

Abstract: We show that the discrete Painlevé-type equations arising from quantum minimal surfaces are equations for recurrence coefficients of orthogonal polynomials for indefinite hermitian products. As a consequence, we obtain an explicit formula for the initial conditions leading to positive solutions.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2025.103

Authors: ETH Zurich, Switzerland, Giovanni Felder, Jens Hoppe, Technische Universität Braunschweig, Germany

Institutions: ETH Zurich, Technische Universität Braunschweig

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4417092200

FWCI: 3.753

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Cited by: 2

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