Ladder Operators for Laguerre-type and Jacobi-type Orthogonal Polynomials

Shulin Lyu, Yuanfei Lyu

In the literature concerning the Laguerre-type weight function $x^{\hat{I}}»w_0(x),x\in [0,+\infty )$, the Jacobi-type weight function $(1-x{)}^{\hat{I}}\pm (1+x{)}^2{w}_0(x),x\in [-1,1]$, and the shifted J…