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Diffstat (limited to 'Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-15.tex')
-rw-r--r-- | Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-15.tex | 14 |
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diff --git a/Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-15.tex b/Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-15.tex new file mode 100644 index 00000000000..049f8a13427 --- /dev/null +++ b/Master/texmf-doc/doc/german/kopka/uebungen/kapitel5/ueb5-15.tex @@ -0,0 +1,14 @@ +\documentclass{article} +\usepackage{german} +\setlength{\textwidth}{135mm} +\begin{document} +\noindent +Laurent-Entwicklung: Mit $c_n = \frac{1}{2\pi i} +\oint (\zeta-a)^{-n-1}f(\zeta)\,d\zeta$ gilt f"ur jede Funk\-tion $f(z)$ die +Darstellung ($n=0$, $\pm1$, $\pm2$, \ldots) +\[ f(x) = \sum_{n=-\infty}^{+\infty} c_n(z-a)^n + = \left\{\begin{array}{r} + c_0 + c_1(z-a) + c_2(z-a)^2 +\cdots+ c_n(z-a)^n+\cdots\\ + \mbox{}+c_{-1}(z-a)^{-1} + c_{-2}(z-a)^{-2}+\cdots\\ + \mbox{}+c_{-n}(z-a)^{-n}+\cdots \end{array}\right. \] +\end{document} |