, Volume 103, Issue 1, pp 482-485

On the theory of Laplace-Darboux transformations

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Abstract

In the framework of the classical Laplace—Darboux theory, a formula of linear-fractional transformation of the solutions of a second-order linear equation with two independent variables is established. The one-dimensional reduction of the theory is briefly discussed.

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 1, pp. 170–175, April, 1995.