Exponentially small expansions in the asymptotics of the Wright function

Richard B. Paris

Research output: Contribution to journalArticle

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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 languageEnglish
Pages (from-to)488-504
Number of pages17
JournalJournal of Computational and Applied Mathematics
Volume234
Issue number2
DOIs
StatePublished - May 2010

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Wright function
Generalized hypergeometric function
Numerical examples
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Paris, Richard B. / Exponentially small expansions in the asymptotics of the Wright function.

In: Journal of Computational and Applied Mathematics, Vol. 234, No. 2, 05.2010, p. 488-504.

Research output: Contribution to journalArticle

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Exponentially small expansions in the asymptotics of the Wright function. / Paris, Richard B.

In: Journal of Computational and Applied Mathematics, Vol. 234, No. 2, 05.2010, p. 488-504.

Research output: Contribution to journalArticle

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