Summation of the series \(1 + \dfrac{x^3}{3!} +\dfrac{x^6}{6!}+\cdots\). (Q2596388)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Summation of the series \(1 + \dfrac{x^3}{3!} +\dfrac{x^6}{6!}+\cdots\). |
scientific article |
Statements
Summation of the series \(1 + \dfrac{x^3}{3!} +\dfrac{x^6}{6!}+\cdots\). (English)
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1938
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Verf. beweist: \[ 1+\frac{x^3}{3!} + \frac{x^6}{6!}+\cdots =\frac13\left(e^x+2e^{-\frac x2} \cos\frac{\sqrt 3}2 x\right) \] und einige damit zusammenhängende Formeln.
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