Abstract
A certain series of Bessel functions-recently discussed by Lee (1988)-is an asymptotic expansion 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 |
|---|---|
| Article number | 033 |
| Pages (from-to) | 4729-4733 |
| Number of pages | 5 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 22 |
| Issue number | 21 |
| DOIs | |
| Publication status | Published - 1989 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics
Cite this
A note on a series of Bessel functions : Asymptotic and convergence properties. / Marksteiner, P.; Badralexe, E.; Freeman, Arthur J.
In: Journal of Physics A: Mathematical and General, Vol. 22, No. 21, 033, 1989, p. 4729-4733.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A note on a series of Bessel functions
T2 - Asymptotic and convergence properties
AU - Marksteiner, P.
AU - Badralexe, E.
AU - Freeman, Arthur J
PY - 1989
Y1 - 1989
N2 - A certain series of Bessel functions-recently discussed by Lee (1988)-is an asymptotic expansion 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.
AB - A certain series of Bessel functions-recently discussed by Lee (1988)-is an asymptotic expansion 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=36149032998&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/22/21/033
DO - 10.1088/0305-4470/22/21/033
M3 - Article
VL - 22
SP - 4729
EP - 4733
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 21
M1 - 033
ER -