Dingle’s self-resurgence formula
| Autor: | M V Berry |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Power series
Series (mathematics) 010308 nuclear & particles physics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Function (mathematics) 01 natural sciences Nonlinear system Asymptotic power 0103 physical sciences Variety (universal algebra) 010306 general physics Representation (mathematics) Asymptotic expansion Mathematical Physics Mathematics Mathematical physics |
| Zdroj: | Nonlinearity. 30:R25-R31 |
| ISSN: | 1361-6544 0951-7715 |
| DOI: | 10.1088/1361-6544/aa6c78 |
| Popis: | If a nonlinear function F(S) depends on a function S(x) that is represented by a factorially divergent asymptotic power series in a small parameter x, each late coefficient of the power series for F(S(x)) can be represented explicitly as an asymptotic series whose terms involve balanced combinations of the late and early coefficients of the series for S(x). The formula for the late terms was first described by R B Dingle but not published by him. Numerics for a variety of functions F(S) demonstrate this 'self-resurgence' and the accuracy of the representation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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