Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1006-1031 |
| Number of pages | 26 |
| Journal | European Journal of Pure and Applied Mathematics |
| Volume | 3 |
| Issue number | 6 |
| Publication status | Published - 2010 |
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Asymptotic expansion of n-dimensional Faxén-type integrals. / Paris, Richard B.
In: European Journal of Pure and Applied Mathematics, Vol. 3, No. 6, 2010, p. 1006-1031.Research output: Contribution to journal › Article
TY - JOUR
T1 - Asymptotic expansion of n-dimensional Faxén-type integrals
AU - Paris, Richard B.
PY - 2010
Y1 - 2010
N2 - The asymptotic expansion of n-dimensional extensions of Faxén’s integral In(z) are derived for large complex values of the variable z. The theory relies on the asymptotics of the generalised hypergeometric, orWright, function. The coefficients in the exponential expansion are obtained by means of an algorithm applicable for arbitrary n. Numerical examples are given to illustrate the accuracy of the expansions.
AB - The asymptotic expansion of n-dimensional extensions of Faxén’s integral In(z) are derived for large complex values of the variable z. The theory relies on the asymptotics of the generalised hypergeometric, orWright, function. The coefficients in the exponential expansion are obtained by means of an algorithm applicable for arbitrary n. Numerical examples are given to illustrate the accuracy of the expansions.
M3 - Article
VL - 3
SP - 1006
EP - 1031
JO - European Journal of Pure and Applied Mathematics
JF - European Journal of Pure and Applied Mathematics
SN - 1307-5543
IS - 6
ER -