Explicit solutions are obtained of the linear differential equation of the second order with three regular singularities and one irregular singularity of the first type. The behavior at the point at infinity is discussed. An important special case is an algebraic form of the ellipsoidal wave equation.
@article{urn:eudml:doc:40040, title = {The generalised ellipsoidal wave equation [0,3,11].}, journal = {Collectanea Mathematica}, volume = {46}, year = {1995}, pages = {217-230}, zbl = {0854.33018}, mrnumber = {MR1380363}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40040} }
Exton, Harold. The generalised ellipsoidal wave equation [0,3,11].. Collectanea Mathematica, Tome 46 (1995) pp. 217-230. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40040/