Derives simplified recurrences, a transparent Christoffel-Darboux formula, and Riemann-Hilbert problems for the 2j-k and j-2k bi-orthogonal polynomial families on the unit circle.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Well-posedness via fixed point, mass preservation, gradient-flow energy structure, decay estimates, and singular limit to a fully parabolic system are established for local-nonlocal parabolic-elliptic models with Neumann conditions.
XekRung achieves state-of-the-art performance on cybersecurity benchmarks among same-scale models via tailored data synthesis and multi-stage training while retaining strong general capabilities.
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The $2j-k$ and $j-2k$ Bi-orthogonal Polynomials on the Unit Circle: Further Properties and Riemann-Hilbert Characterizations
Derives simplified recurrences, a transparent Christoffel-Darboux formula, and Riemann-Hilbert problems for the 2j-k and j-2k bi-orthogonal polynomial families on the unit circle.
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XekRung Technical Report
XekRung achieves state-of-the-art performance on cybersecurity benchmarks among same-scale models via tailored data synthesis and multi-stage training while retaining strong general capabilities.