Asymptotic Expansion of n-dimensional Faxen-type Integrals
Keywords:
Faxen's integral, asymptotic expansion, Wright function, generalised hypergeometric functionsAbstract
The asymptotic expansion of n-dimensional extensions of Faxen's integral I_n(z) are derived for large complex values of the variable z. The theory relies on the asymptotics of the generalised hypergeometric , or Wright, 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.Downloads
Published
2010-12-31
Issue
Section
Special Issue on Complex Analysis: Theory and Applications
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How to Cite
Asymptotic Expansion of n-dimensional Faxen-type Integrals. (2010). European Journal of Pure and Applied Mathematics, 3(6), 1006-1031. https://www.ejpam.com/index.php/ejpam/article/view/816