The Heun Equation and the Darboux Transformation
- Cite this article as:
- Sirota, Y.N. & Smirnov, A.O. Math Notes (2006) 79: 244. doi:10.1007/s11006-006-0027-5
In this paper, we study the Darboux transformation of the Darboux-Treibich-Verdier equation. On the basis of this transformation, we construct a generalization of the Darboux transformation to the case of the Heun equation and to other linear ordinary differential equations of second order. Examples are given.