Abstract
The asymptotic expansions of the confluent hypergeometric functions 1F1(a; b; z) and U(a, b, z) are examined as |z|→∞ on the Stokes lines arg z = ±π. Particular attention is given to the exponentially small contributions associated with these two functions. Numerical results demonstrating the accuracy of the expansions are given.
| Original language | English |
|---|---|
| Pages (from-to) | 6601-6609 |
| Number of pages | 9 |
| Journal | Applied Mathematical Sciences |
| Volume | 7 |
| Issue number | 133 |
| DOIs | |
| Publication status | Published - 2013 |
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Cite this
Paris, R. B. (2013). Exponentially small expansions of the confluent hypergeometric functions. Applied Mathematical Sciences, 7(133), 6601-6609. https://doi.org/10.12988/ams.2013.310559