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The expansion of the confluent hypergeometric function on the positive real axis
Published 22 Dec 2017 in math.CA | (1712.08371v1)
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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