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

Authors :
Conway, John T.
Source :
Integral Transforms & Special Functions. May2022, Vol. 33 Issue 5, p341-355. 15p.
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10652469
Volume :
33
Issue :
5
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
156293999
Full Text :
https://doi.org/10.1080/10652469.2021.1938025