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

Shulin Lyu, Yuanfei Lyu

In the literature concerning the Laguerre-type weight function $x^{\lambda }{w}_0(x),x\in [0,+\infty )$, the Jacobi-type weight function $(1-x{)}^{\alpha }(1+x{)}^{\beta }{w}_0(x),x\in [-1,1]$, and the shifted Jaco…