Here we discuss the calculation of an integral containing the Bessel function J_0(r) and the modified Bessel function of the first kind I_1(r). The calculus is based on a function of J_0(r), I_1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.

An integral containing a Bessel Function and a Modified Bessel Function of the First Kind / Sparavigna, Amelia Carolina. - In: PHILICA. - ISSN 1751-3030. - 2017:1082(2017). [10.5281/zenodo.4088590]

An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

Amelia Carolina Sparavigna
2017

Abstract

Here we discuss the calculation of an integral containing the Bessel function J_0(r) and the modified Bessel function of the first kind I_1(r). The calculus is based on a function of J_0(r), I_1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2848485