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arXiv · 1712.08371

The expansion of the confluent hypergeometric function on the positive real axis

R B Paris
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Abstract

The asymptotic expansion of the Kummer function ${}_1F_1(a; b; z)$ is examined as $z\to+\infty$ on the Stokes line $\arg\,z=0$. The correct form of the subdominant algebraic contribution is obtained for non-integer $a$. Numerical results demonstrating the accuracy of the expansion are given.

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R B Paris. 2017-12-22. The expansion of the confluent hypergeometric function on the positive real axis. https://arxiv.org/abs/1712.08371

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