### 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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### Cite this

*European Journal of Pure and Applied Mathematics*,

*3*(6), 1006-1031.

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*European Journal of Pure and Applied Mathematics*, vol. 3, no. 6, pp. 1006-1031.

**Asymptotic expansion of n-dimensional Faxén-type integrals.** / Paris, Richard B.

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 -