Problem 3071 (gestellt in Amer. Math. Monthly 31 [1924], 206.) Lösung von O. Dunkel. (Q1454828)
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scientific article; zbMATH DE number 2591385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problem 3071 (gestellt in Amer. Math. Monthly 31 [1924], 206.) Lösung von O. Dunkel. |
scientific article; zbMATH DE number 2591385 |
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Problem 3071 (gestellt in Amer. Math. Monthly 31 [1924], 206.) Lösung von O. Dunkel. (English)
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1925
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\[ \sum_0^\infty \frac{(x+nh)^n}{n!} = ce^{mx} \quad\text{für}\quad |h|<\frac1e; \] dabei genügt \(m\) der Gleichung \(e^{mh} = m\), und \(c\) ist unabhängig von \(x\).
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