6533b7d3fe1ef96bd1260aff

RESEARCH PRODUCT

Indefinite integrals from Wronskians and related linear second-order differential equations

John T. Conway

subject

Second order differential equationsApplied MathematicsMathematics::Metric GeometryApplied mathematicsVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410AnalysisMathematics

description

Many indefinite integrals are derived for Bessel functions and associated Legendre functions from particular transformations of their differential equations which are closely linked to Wronskians. A large portion of the results for Bessel functions is known, but all the results for associated Legendre functions appear to be new. The method can be applied to many other special functions. All results have been checked by differentiation using Mathematica.

https://doi.org/10.1080/10652469.2021.1938025