Euler and Gauss on the Hypergeometric Function -- A Comparison

Alexander Aycock

doi:10.56031/2693-9908.1083

March 1, 2026EulerianaOpen Access

Euler and Gauss on the Hypergeometric Function -- A Comparison

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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.

Implication

Comparative analysis reveals important results of Euler and Gauss on the hypergeometric function, suggesting rich mathematical connections.

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.

Discussion

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Cite This Study

Alexander Aycock (2026) studied this question.

synapsesocial.com/papers/69a91d21d6127c7a504bff32 https://doi.org/10.56031/2693-9908.1083

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Euler and Gauss on the Hypergeometric Function -- A Comparison

Key Points

Implication

Abstract

Discussion

Cite This Study

Euler and Gauss on the Hypergeometric Function -- A Comparison

Key Points

Implication

Abstract

Discussion

Cite This Study

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