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Euler's beta integral in Pietro Mengoli's works

Autor
Massa, M.; Delshams, A.
Tipus d'activitat
Article en revista
Revista
Archive for history of exact sciences
Data de publicació
2009-03
Volum
63
Número
3
Pàgina inicial
325
Pàgina final
356
DOI
https://doi.org/10.1007/s00407-009-0042-5 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/11075 Obrir en finestra nova
URL
http://www.springerlink.com/content/gu0g264614228416/fulltext.pdf Obrir en finestra nova
Resum
Beta integrals for several non-integer values of the exponents were calculated by Leonhard Euler in 1730, when he was trying to find the general term for the factorial function by means of an algebraic expression. Nevertheless, 70 years before, Pietro Mengoli (1626–1686) had computed such integrals for natural and half-integer exponents in his Geometriae Speciosae Elementa (1659) and Circolo (1672) and displayed the results in triangular tables. In particular, his new arithmetic–algebraic me...
Citació
Massa, M.; Delshams, A. Euler's beta integral in Pietro Mengoli's works. "Archive for history of exact sciences", Març 2009, vol. 63, núm. 3, p. 325-356.
Grup de recerca
GRHCT - Grup de Recerca d'Història de la Ciència i de la Tècnica
SD - Sistemes Dinàmics de la UPC

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