Abstract
We consider exponentially small expansions present in the asymptotics of the generalised hypergeometric function, or Wright function, pΨq(z) for large |z| that have not been considered in the existing theory. Our interest is principally with those functions of this class that possess either a finite algebraic expansion or no such expansion and with parameter values that produce exponentially small expansions in the neighbourhood of the negative real z axis. Numerical examples are presented to demonstrate the presence of these exponentially small expansions.
Original language | English |
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Pages (from-to) | 488-504 |
Number of pages | 17 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 234 |
Issue number | 2 |
DOIs | |
Publication status | Published - May 2010 |
Keywords
- Asymptotics
- Wright function
- Exponentially small expansions
- Generalised hypergeometric functions