Exponential asymptotics of the Mittag-Leffler function
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 355-385 |
Journal / Publication | Constructive Approximation |
Volume | 18 |
Issue number | 3 |
Publication status | Published - 2002 |
Link(s)
Abstract
The Stokes lines/curves are identified for the Mittag-Leffler function Eα,β(z) = Σn=0∞ zn/Γ(αn + β), Re α>0. When α is not real, it is found that the Stokes curves are spirals. Away from the Stokes lines/curves, exponentially improved uniform asymptotic expansions are obtained. Near the Stokes lines/curves, Berry-type smooth transitions are achieved via the use of the complementary error function.
Research Area(s)
- Berry-type smooth transition, Exponential asymptotics, Mittag-Leffler function, Stokes lines/curves
Citation Format(s)
Exponential asymptotics of the Mittag-Leffler function. / Wong, R.; Zhao, Yu-Qiu.
In: Constructive Approximation, Vol. 18, No. 3, 2002, p. 355-385.
In: Constructive Approximation, Vol. 18, No. 3, 2002, p. 355-385.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review