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The behaviour of the fourth type of Lauricella's hypergeometric series in n variables near the boundaries of its convergence region
Published online by Cambridge University Press: 09 April 2009
Abstract
For Lauricella's hypergeometric function F(n)D of n variables, we prove two formulas exhibiting its behaviour near the boundaries of the n-dimensional region of convergence of the multiple series defining it. Each of these results can be applied to deduce the corresponding properties of several simpler hypergeometric functions of one, two, and more variables.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 57 , Issue 3 , December 1994 , pp. 281 - 294
- Copyright
- Copyright © Australian Mathematical Society 1994
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