Orthogonal Polynomials with Complex Densities and Quantum Minimal Surfaces
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.
Authors
- Giovanni Felder (ORCID: https://orcid.org/0000-0001-5775-2287)
- Jens Hoppe (ORCID: https://orcid.org/0000-0003-0723-7724)
Publication Details
- Journal
- Symmetry Integrability and Geometry Methods and Applications
- Published
- 2025-12-07
- DOI
- https://doi.org/10.3842/sigma.2025.103
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00