6533b838fe1ef96bd12a4449

RESEARCH PRODUCT

More indefinite integrals from Riccati equations

John T. Conway

subject

Applied Mathematics010102 general mathematicsMathematics::Optimization and Control010103 numerical & computational mathematicsParabolic cylinder functionFunction (mathematics)01 natural sciencesLegendre functionsymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsMathieu functionQuadratic equationComputer Science::Systems and ControlsymbolsRiccati equationMathematics::Mathematical PhysicsApplied mathematics0101 mathematicsAnalysisMathematics

description

ABSTRACTTwo new methods for obtaining indefinite integrals of a special function using Riccati equations are presented. One method uses quadratic fragments of the Riccati equation, the solutions of...

https://doi.org/10.1080/10652469.2019.1647538