Elliptic Selberg integrals
Giovanni Felder (1), Laura Stevens (2), Alexander Varchenko (2) ((1), ETH Zurich, (2) UNC Chapel Hill)
TL;DR
This paper introduces an elliptic extension of Selberg's integral formula, expanding the mathematical framework of integrals with potential applications in advanced analysis and mathematical physics.
Contribution
It provides the first elliptic generalization of Selberg's integral formula, offering new tools for research in special functions and integrable systems.
Findings
Derived a new elliptic integral formula
Extended classical Selberg integral to elliptic case
Potential applications in mathematical physics
Abstract
We present an elliptic version of Selberg's integral formula.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Mathematical Identities · Algebraic structures and combinatorial models