DISCRETE PAINLEVE EQUATIONS FOR RECURRENCE COEFFICIENTS OF SEMICLASSICAL LAGUERRE POLYNOMIALS

作者：Boelen Lies^*; Van Assche Walter

来源：Proceedings of the American Mathematical Society, 2010, 138(4): 1317-1331.

• Discrete Painleve equations
• orthogonal polynomials

We consider two semiclassical extensions of the Laguerre weight and their associated sets of orthogonal polynomials. These polynomials satisfy a three-term recurrence relation. We show that the coefficients appearing in this relation satisfy discrete Painleve equations.

• 出版日期2010-4