Asymptotic series and algebroid functions
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| Název: | Asymptotic series and algebroid functions |
|---|---|
| Autoři: | Levin, B. Ya., Ronkin, A. L. |
| Informace o vydavateli: | American Mathematical Society (AMS), Providence, RI |
| Témata: | Asymptotic representations in the complex plane, Ritt theorems, meromorphic functions, algebroidal function, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, quasi- polynomial, Entire and meromorphic functions of one complex variable, and related topics |
| Popis: | The main result of this very saturated note is the following theorem. Let the coefficients \(P_{\ell}(z)\) of the equation \[ (1)\quad P_ 0(z)w^ n+P_ 1(z)w^{n-1}+...+P_ n(z)=0 \] admit in an angle \(S_{\beta}\equiv S_{0,\beta}\), \(S_{\phi,\beta}=\{z:\) \(| \arg z- \phi | \pi)\) and let the set \(\{\lambda_{j\ell}\}\) be separated. Then for some \(\alpha |
| Druh dokumentu: | Article |
| Popis souboru: | application/xml |
| Přístupová URL adresa: | https://zbmath.org/3959888 |
| Přístupové číslo: | edsair.c2b0b933574d..3c36b30b02bee67ea5fd2d17d3d2fbc4 |
| Databáze: | OpenAIRE |
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