Exponential asymptotics (Q2760166)
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scientific article; zbMATH DE number 1684170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential asymptotics |
scientific article; zbMATH DE number 1684170 |
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1 February 2003
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asymptotic expansion
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steepest descent method
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hyperasymptotics
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Stokes phenomenon
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Airy function
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0.9075417
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Exponential asymptotics (English)
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In this tutorial lecture the author uses the example of Airy functions \(\text{Ai}(z)\) in order to illustrate new developments in the theory of asymptotic expansions, such as smoothing of the Stokes phenomenon, exponentially improved estimates and hyperasymptotics, related to works of Berry and Howls, Olver, and the author.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00053].
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