Connections between Romanovski and other polynomials |
| |
| Authors: | Hans J Weber |
| |
| Institution: | (1) Department of Physics, University of Virginia, Charlottesville, VA 22904, USA |
| |
| Abstract: | A connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given. |
| |
| Keywords: | Romanovski polynomials complexified Jacobi polynomials generating function recursion relations addition theorems |
| 本文献已被 SpringerLink 等数据库收录！ |
