Symmetry and singularity properties of the generalised Kummer–Schwarz and related equations

AbstractWe examine the generalised Kummer–Schwarz equation and some of its generalisations from the viewpoints of symmetry and singularity analyses. We determine the Complete Symmetry Group of the general equation and show that different forms of the fourth-order representative illustrate the three possible classes of Laurent series to be expected in the course of the singularity analysis