Abstract
A certain series of Bessel functions–recently discussed by Lee–is an asymptoticexpansion of an integral of a Bessel function. Here the asymptotic properties of the series are investigated in more detail, and it is shown that the series is not only asymptotic, but also convergent under suitable restrictions. For large positive real arguments finite numbers of terms of the series give good approximations to the integral, but the infinite sum is different from the integral.
Original language  English (US) 

Pages (fromto)  47294733 
Number of pages  5 
Journal  Journal of Physics A: Mathematical and General 
Volume  22 
Issue number  21 
DOIs 

State  Published  Nov 7 1989 
ASJC Scopus subject areas
 Statistical and Nonlinear Physics
 Mathematical Physics
 Physics and Astronomy(all)
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Marksteiner, P., Badralexe, E., & Freeman, A. J. (1989). A note on a series of Bessel functions: Asymptotic and convergence properties. Journal of Physics A: Mathematical and General, 22(21), 47294733. https://doi.org/10.1088/03054470/22/21/033