He also studied beta and gamma functions, which he had introduced first in 1729. Legendre called these 'Eulerian integrals of the first and second kind' respectively while they were given the names beta function and gamma function by Binet and Gauss respectively.
Siya rin ang aral ng beta at gama function, na kung saan siya ay nagpasimula ng unang sa 1729. Legendre na tinatawag na mga 'Eulerian integrals ng una at pangalawang uri' ayon sa habang sila ay bibigyan ng pangalan ng function at beta gama function sa pamamagitan ng Binet at gauss ayon.