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math-ph2025
Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
Harini Desiraju, Sampad Lahiry
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on ellip…
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Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges
Sung-Soo Byun, Peter J. Forrester, Sampad Lahiry
The one-component Coulomb gas on the sphere, consisting on unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength pr…