Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 314-325 |
| Number of pages | 12 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 223 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2009 |
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The asymptotics of a new exponential sum. / Paris, Richard B.
In: Journal of Computational and Applied Mathematics, Vol. 223, No. 1, 01.01.2009, p. 314-325.Research output: Contribution to journal › Article
TY - JOUR
T1 - The asymptotics of a new exponential sum
AU - Paris,Richard B.
PY - 2009/1/1
Y1 - 2009/1/1
N2 - The absolutely convergent exponential sum [formula missing] is studied for m→+∞ and fixed p when the parameter θ is allowed to become large such that θ/m remains finite. This situation corresponds, in general, to the trace in the complex plane of the partial sums of Sp(θ;m) consisting of a multiple spiral structure. Numerical results are presented to illustrate the accuracy of the expansion.
AB - The absolutely convergent exponential sum [formula missing] is studied for m→+∞ and fixed p when the parameter θ is allowed to become large such that θ/m remains finite. This situation corresponds, in general, to the trace in the complex plane of the partial sums of Sp(θ;m) consisting of a multiple spiral structure. Numerical results are presented to illustrate the accuracy of the expansion.
U2 - 10.1016/j.cam.2008.01.014
DO - 10.1016/j.cam.2008.01.014
M3 - Article
VL - 223
SP - 314
EP - 325
JO - Journal of Computational and Applied Mathematics
T2 - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1
ER -