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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{Exton1995, abstract = {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.}, author = {Exton, Harold}, journal = {Collectanea Mathematica}, keywords = {Ecuaciones diferenciales lineales; Ecuaciones de segundo orden; Propagación de ondas; Correspondencia algebraica; Ecuaciones diferenciales elípticas; Singularidades}, language = {eng}, number = {3}, pages = {217-230}, title = {The generalised ellipsoidal wave equation [0,3,11].}, url = {http://eudml.org/doc/40040}, volume = {46}, year = {1995}, }
TY - JOUR AU - Exton, Harold TI - The generalised ellipsoidal wave equation [0,3,11]. JO - Collectanea Mathematica PY - 1995 VL - 46 IS - 3 SP - 217 EP - 230 AB - 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. LA - eng KW - Ecuaciones diferenciales lineales; Ecuaciones de segundo orden; Propagación de ondas; Correspondencia algebraica; Ecuaciones diferenciales elípticas; Singularidades UR - http://eudml.org/doc/40040 ER -