Regular Singular Point -- from Wolfram MathWorld

Regular Singular Point ... y^('')+P(x)y^'+Q ... is called a regular singular point (or nonessential singularity). See also. Irregular Singularity ... Algebra AppliedMathematics CalculusandAnalysis DiscreteMathematics FoundationsofMathematics Geometry HistoryandTerminology NumberTheory ProbabilityandStatistics RecreationalMathematics Topology AlphabeticalIndex NewinMathWorld CalculusandAnalysis DifferentialEquations OrdinaryDifferentialEquations RegularSingularPoint Considerasecond-order ordinarydifferentialequation Ifandremainfinite at,theniscalledan ordinarypoint.Ifeitherordivergesas ,theniscalleda singularpoint.Ifeitherordivergesas butand remainfinite as,theniscalled aregularsingularpoint(ornonessentialsingularity). SeealsoIrregularSingularity, SingularPoint ExplorewithWolfram|Alpha Morethingstotry: adjoint .03571428571428... eigenvectors{{1,0,0},{0,0,1},{0,1,0}} ReferencesArfken,G."SingularPoints."§8.4inMathematical MethodsforPhysicists,3rded.Orlando,FL:AcademicPress,pp. 451-453 and461-463,1985.ReferencedonWolfram|AlphaRegularSingularPoint Citethisas: Weisstein,EricW."RegularSingularPoint." FromMathWorld--AWolframWebResource.https://mathworld.wolfram.com/RegularSingularPoint.html Subjectclassifications CalculusandAnalysis DifferentialEquations OrdinaryDifferentialEquations Created,developedandnurturedbyEricWeissteinatWolframResearch