Article ID: CBB000933316

Consideracions al voltant de la Funció Beta a l'obra de Leonhard Euler (1707--1783) (2008)

unapi

Delshams, Amadeu (Author)
Massa i Esteve, Maria Rosa (Author)


Quaderns d'Història de l'Enginyeria
Volume: 9
Pages: 59--82

ISSN: 1135-934X

Publication Date: 2008
Edition Details: Part of a special issue: 300 Aniversari de Leonhard Euler (1707--2007)

According to Leonhard Euler (1707-1783), the most important problem in the theory of progressions of numbers is to exhibit, for any given progression, its general term. In 1730, when looking for the general term of the famous factorial progression, he was led to the computations of integrals, nowadays known as the Beta function. The aim of this article is to analyse the analytic procedures found in Euler's early texts, to compute what is nowadays known as the Beta function. After describing these calculations, we subsequently present some relations between these integrals calculated by Euler. We also analyze the construction of other tables of the Beta integral which were available in his time.

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Included in

Article Massa Esteve, Maria Rosa (2008) Congrés Internacional “300 Aniversari Leonhard Euler (1707--2007)”. Barcelona, 20--21 de setembre de 2007. Quaderns d'Història de l'Enginyeria (p. 307). unapi

Article Lusa Monforte, Guillermo (2008) Congrés Internacional “300 Aniversari Leonhard Euler (1707--2007)”. Una presentación informal. Quaderns d'Història de l'Enginyeria (p. 3). unapi

Citation URI
https://data.isiscb.org/isis/citation/CBB000933316/

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Authors & Contributors
Ferraro, Giovanni
Mariano Giaquinta
Yuan, Min
Wilson, Robin J.
Taton, René
Spalt, Detlef D.
Concepts
Mathematics
Differential and integral equations
Calculus
Discrete mathematics
Mathematical analysis
Differential equations
Time Periods
18th century
19th century
17th century
20th century
Places
Spain
Germany
France
Europe
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