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Exponentially small expansions in the asymptotics of the Wright function

✍ Scribed by R.B. Paris

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
1013 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

We consider exponentially small expansions present in the asymptotics of the generalised hypergeometric function, or Wright function, p Ξ¨ q (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.

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