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.
|Number of pages||26|
|Journal||European Journal of Pure and Applied Mathematics|
|Publication status||Published - 2010|
- Asymptotic expansion
- Faxén's integral
- Wright function
- Generalised hypergeometric