Differential systems of pure Gaussian type (Q2810940)
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scientific article; zbMATH DE number 6589639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential systems of pure Gaussian type |
scientific article; zbMATH DE number 6589639 |
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Differential systems of pure Gaussian type (English)
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6 June 2016
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Laplace transformation
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meromorphic connection
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Stokes matrix
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Differential systems of pure Gaussian type are the ones whose solutions behave asymptotically like sums of terms of the form \(t^a(\log t)^k\exp (ct^2/2)\) as \(t\rightarrow \infty\) and have no other singularities. Their Laplace transforms have the same property. The author gives the rule how the Stokes data of the system are related to the ones of its Laplace transform.
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