Euler and Gauss on the Hypergeometric Function -- A Comparison | Synapse
March 5, 2026Open Access
Euler and Gauss on the Hypergeometric Function -- A Comparison
Key Points
This analysis aims to explore and compare results related to the Gaussian hypergeometric function as stated by Euler and Gauss.
Review of historical mathematical texts by Euler and Gauss.
Comparison of specific results attributed to each mathematician.
Mathematical analysis of the hypergeometric function.
Several results stated by Euler align closely with findings by Gauss.
Key similarities and differences between their approaches to the hypergeometric function are identified.
Insights into the mathematical landscape shaped by both mathematicians are presented.
Abstract
We present several results stated by Euler on what is today called the Gaussian hypergeometric function. For this purpose, we compare the results found by Gauss to Euler's results.