### Abstract

Original language | English |
---|---|

Pages (from-to) | 488-504 |

Number of pages | 17 |

Journal | Journal of Computational and Applied Mathematics |

Volume | 234 |

Issue number | 2 |

DOIs | |

State | Published - May 2010 |

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### Cite this

*Journal of Computational and Applied Mathematics*,

*234*(2), 488-504. DOI: 10.1016/j.cam.2009.12.040

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*Journal of Computational and Applied Mathematics*, vol 234, no. 2, pp. 488-504. DOI: 10.1016/j.cam.2009.12.040

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Exponentially small expansions in the asymptotics of the Wright function

AU - Paris,Richard B.

PY - 2010/5

Y1 - 2010/5

N2 - 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.

AB - 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.

U2 - 10.1016/j.cam.2009.12.040

DO - 10.1016/j.cam.2009.12.040

M3 - Article

VL - 234

SP - 488

EP - 504

JO - Journal of Computational and Applied Mathematics

T2 - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 2

ER -