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

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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… Click to show full abstract

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.

Keywords: indefinite integrals; differential equations; wronskians related; integrals wronskians; related linear; linear second

Journal Title: Integral Transforms and Special Functions
Year Published: 2021

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