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 |
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Pages (from-to) | 6601-6609 |
Number of pages | 9 |
Journal | Applied Mathematical Sciences |
Volume | 7 |
Issue number | 133 |
DOIs | |
Publication status | Published - 2013 |
Keywords
- Confluent hypergeometric functions
- Stokes lines
- Asymptotic expansions
- Exponentially small expansions