CEU Electronic Theses and Dissertations, 2015
| Author | Nemes, Gergő |
|---|---|
| Title | The role of resurgence in the theory of asymptotic expansions |
| Summary | In the present dissertation, we summarize our systematic investigation of asymptotic expansions of special functions. We shall first give a detailed account of the general theory of the resurgence properties of special functions given by certain integral representations. This general theory is then employed to obtain a number of properties of the asymptotic expansions of various special functions, including explicit and realistic error bounds, asymptotics for the late coefficients and exponentially improved asymptotic expansions. |
| Supervisor | Árpád Tóth |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2015/nemes_gergo.pdf |
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