Author(s)

Shaohua Fan

School of Science, Tianjin University of Technology and Education, Tianjin, China.

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.

Hyperbola, Matrix Boundary Value Problem, Orthogonal Polynomial

Fan, S. (2023) Matrix Boundary Value Problem on Hyperbola. Journal of Applied Mathematics and Physics, 11, 884-890. doi: 10.4236/jamp.2023.114059.