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arXiv · 1708.04824

Some remarks on the theorems of Wright and Braaksma on the Wright function ${}_p\Psi_q(z)$

R B Paris
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Abstract

We carry out a numerical investigation of the asymptotic expansion of the so-called Wright function ${}_p\Psi_q(z)$ (a generalised hypergeometric function) in the case when exponentially small terms are present. This situation is covered by two theorems of Wright and Braaksma. We demonstrate that a more precise understanding of the behaviour of ${}_p\Psi_q(z)$ is obtained by taking into account the Stokes phenomenon.

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R B Paris. 2017-08-16. Some remarks on the theorems of Wright and Braaksma on the Wright function ${}_p\Psi_q(z)$. https://arxiv.org/abs/1708.04824

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