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https://doi.org/10.4007/annals.2011.174.2.12

has been cited by the following article:

• TITLE: Matrix Boundary Value Problem on Hyperbola

  AUTHORS: Shaohua Fan

  KEYWORDS: Hyperbola, Matrix Boundary Value Problem, Orthogonal Polynomial

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.4, April 18, 2023

  ABSTRACT: We study a special class of lower trigonometric matrix value boundary value problems on hyperbolas. Firstly, the pseudo-orthogonal polynomial on hyperbola is given in bilinear form and it is shown that it is the only one. Secondly, a special boundary value problem of lower triangular matrix is presented and transformed into four related boundary value problems. Finally, Liouville theorem and Painlevé theorem and pseudo-orthogonal polynomials are used to give solutions.