Delshams, Amadeu (Author)
Massa i Esteve, Maria Rosa (Author)
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.
...MoreArticle 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).
Article Lusa Monforte, Guillermo (2008) Congrés Internacional “300 Aniversari Leonhard Euler (1707--2007)”. Una presentación informal. Quaderns d'Història de l'Enginyeria (p. 3).
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