### Abstract

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.

Original language | English |
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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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## Cite this

Paris, R. B. (2010). Asymptotic expansion of n-dimensional Faxén-type integrals.

*European Journal of Pure and Applied Mathematics*,*3*(6), 1006-1031.