Asymptotic Expansion of n-dimensional Faxen-type Integrals

Authors

  • Richard Bruce Paris University of Abertay Dundee Dundee DD1 1HG UK

Keywords:

Faxen's integral, asymptotic expansion, Wright function, generalised hypergeometric functions

Abstract

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.

Author Biography

  • Richard Bruce Paris, University of Abertay Dundee Dundee DD1 1HG UK
    Reader in Mathematics

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Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

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