论文标题
矩阵价态的cauchy双凝胶多项式和一种新颖的非共同晶格
Matrix-valued Cauchy bi-orthogonal polynomials and a novel noncommutative integrable lattice
论文作者
论文摘要
在本文中提出了基质值cauchy bi-Ottrodeneral多项式，以及其准确表达。结果表明，基质值cauchy bi-to-Ottrodenalal多项式的四项复发关系中的系数应满足一个新型的非交通性整合系统，其lax对由分数差分算子给出，其分数差分算子具有非阿贝尔变量。
Matrix-valued Cauchy bi-orthogonal polynomials were proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in four-term recurrence relation for matrix-valued Cauchy bi-orthogonal polynomials should satisfy a novel noncommutative integrable system, whose Lax pair is given by fractional differential operators with non-abelian variables.
