Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice
Copyright policy )Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice
ABSTRACTMatrix‐valued Cauchy bi‐orthogonal polynomials are proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in the four‐term recurrence relation for matrix‐valued Cauchy bi‐orthogonal polynomials satisfy a novel noncommutative integrable system, whose Lax pair is given by fractional differential operators with non‐abelian variables.
- Sichuan University China (People's Republic of)
- Shanghai Jiao Tong University China (People's Republic of)
- University of Glasgow United Kingdom
- Zhejiang University of Science and Technology China (People's Republic of)
matrix-valued Cauchy bi-orthogonal polynomials, noncommutative Toda lattice, Integrable difference and lattice equations; integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, direct method, FOS: Physical sciences, Mathematical Physics (math-ph), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Lattice dynamics; integrable lattice equations, quasideterminants, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
matrix-valued Cauchy bi-orthogonal polynomials, noncommutative Toda lattice, Integrable difference and lattice equations; integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, direct method, FOS: Physical sciences, Mathematical Physics (math-ph), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Lattice dynamics; integrable lattice equations, quasideterminants, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!