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Euler's beta integral in Pietro Mengoli's works

Author
Massa, M.; Delshams, A.
Type of activity
Journal article
Journal
Archive for history of exact sciences
Date of publication
2009-03
Volume
63
Number
3
First page
325
Last page
356
DOI
https://doi.org/10.1007/s00407-009-0042-5 Open in new window
Repository
http://hdl.handle.net/2117/11075 Open in new window
URL
http://www.springerlink.com/content/gu0g264614228416/fulltext.pdf Open in new window
Abstract
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...
Citation
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.
Group of research
GRHCT - Group of Research on History of Science and Technology
SD - UPC Dynamical Systems

Participants