A new recurrence formula for generic exceptional orthogonal polynomials

作者:Miki Hiroshi*; Tsujimoto Satoshi
来源:Journal of Mathematical Physics, 2015, 56(3): 033502.
DOI:10.1063/1.4914334

摘要

A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for types 1, 2, and 3. To provide concrete examples, the recurrence relations are then given for X-j-Hermite, Laguerre, and Jacobi polynomials in the j = 1,2 cases.

  • 出版日期2015-3