Families of orthogonal Laurent polynomials, hyperelliptic lie algebras and elliptic integrals

DOI10.1080/10652469.2016.1227979zbMath1378.33008arXiv1508.00609OpenAlexW3105726403MaRDI QIDQ5506807

Mee Seong Im, Ben L. Cox

Publication date: 16 December 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00609

zbMATH Keywords

Chebyshev polynomialsPell's equationelliptic integralsKrichever-Novikov algebrasuniversal central extensionsDate-Jimbo-Kashiwara-Miwa algebrashyperelliptic lie algebras

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Infinite-dimensional Lie (super)algebras (17B65) Other functions coming from differential, difference and integral equations (33E30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Other special orthogonal polynomials and functions (33C47) Riemann surfaces; Weierstrass points; gap sequences (14H55) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (2)

Special functions and multi-stability of the Jensen type random operator equation in \(C^*\)-algebras via fixed point ⋮ Simple superelliptic Lie algebras

Cites Work

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• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
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