Abstract
The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ 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.
| Original language | English |
|---|---|
| Pages (from-to) | 19-26 |
| Number of pages | 8 |
| Journal | Applied Mathematical Sciences |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 5 Jan 2018 |
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Paris, R. B. (2018). The expansion of the confluent hypergeometric function on the positive real axis. Applied Mathematical Sciences, 12(1), 19-26. https://doi.org/10.12988/ams.2018.712351