Any integral of the form x m J n (x) dx can be evaluated in terms
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Any integral of the form ∫ xm Jn (x) dx can be evaluated in terms of Bessel functions and the indefinite integral ∫ J0 (x) dx. The latter integral cannot be simplified further, but the function ∫x0 J0 (t) dt is tabulated in Table 11.1 of Abramowitz and Stegun. Use the identities in Eqs. (22) and (23) to evaluate the integrals in Problems 11 through 18.
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dx [x² Jp(x)] = xP Jp-1(x). (22)
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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