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A "missing" family of classical orthogonal polynomials

12 Pith papers cite this work. Polarity classification is still indexing.

12 Pith papers citing it
abstract

We study a family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type. These polynomials can be obtained from the little $q$-Jacobi polynomials in the limit $q=-1$. We also show that these polynomials provide a nontrivial realization of the Askey-Wilson algebra for $q=-1$.

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representative citing papers

Algorithmic Locality via Provable Convergence in Quantum Tensor Networks

quant-ph · 2026-04-23 · unverdicted · novelty 8.0

For PEPS with strong injectivity above a threshold, belief propagation finds fixed points efficiently and cluster-corrected BP approximates observables to 1/poly(N) error in poly(N) time, with local perturbations affecting the fixed point only locally.

How active field theories couple to external potentials

cond-mat.stat-mech · 2026-03-23 · unverdicted · novelty 7.0

Active field theories require a specific density-potential gradient coupling derived from microscopic persistence to reproduce nonequilibrium behaviors like boundary accumulation.

Consistency, unanimity, and the Borda rule in social ranking

econ.TH · 2026-05-18 · unverdicted · novelty 6.0

The authors characterize a new Borda-type social ranking solution (SRS) that satisfies weak consistency, closeness to unanimity under linear symmetric domains, neutrality, and independence of perfunctory participation.

Numerical analysis of eikonal equation

physics.comp-ph · 2019-06-22 · unverdicted · novelty 2.0

Transforms the eikonal equation to an ODE system via characteristics for numerical analysis of Maxwell and Luneburg lenses.

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