Solutions to Schr\"odinger's equation for varied factor ordering of the Hamiltonian for 2-D gravity

First I will talk about the quantization of a Hamiltonian for 2-D gravity allowing for a two-parameter family of factor orderings. Then the rewriting and solving of the corresponding Schr\"odinger equation through transformation into a hypergeometric equation will be discussed. Lastly the asymptotic behavior of the solutions describing the wave functions will be considered.