Definition:Hypergeometric Series/Historical Note
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Historical Note on Hypergeometric Series
Carl Friedrich Gauss did considerable work on this series, as published in his work:
- 1813: Disquisitiones generales circa seriam infinitam $1 + \frac {\alpha \beta} {1 \cdot \gamma} \, x + \frac {\alpha \left({\alpha + 1}\right) \beta \left({\beta + 1}\right)} {1 \cdot 2 \cdot \gamma \left({\gamma + 1}\right)} \, x \, x + \cdots $ (Commentationes societatis regiae scientarum Gottingensis recentiores Vol. 2)
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.25$: Gauss ($\text {1777}$ – $\text {1855}$)