U matematici, postoje dva tipa Eulerovog integrala:Jeffrey, Alan; and Dai, Hui-Hui (2008). Handbook of Mathematical Formulas 4th Ed. Academic Press. . str. 234-235
1. Eulerov integral prvog reda: tzv. Beta funkcija
2. Eulerov integral drugog reda: tzv. Gama funkcija
Za pozitivne cijele brojeve m i n
Također pogledajte Eulerov integral (termodinamika) Leonhard Euler
Reference
Literatura
Milton Abramowitz and Irene Stegun, editors. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. I.S. Gradshteyn (И. С. Грaдштейн), I.M. Ryzhik (И. М. Рыжик); Alan Jeffrey, Daniel Zwillinger, editors. Table of Integrals, Series, and Products, seventh edition. Academic Press, 2007. . Errata. (Several previous editions as well.) A.P. Prudnikov (А. П. Прудников), Yu.A. Brychkov (Ю. А. Брычков), O.I. Marichev (О. И. Мaричев). Integrals and Series. First edition (Russian), volume 1–5, Nauka, 1981−1986. First edition (English, translated from the Russian by N.M. Queen), volume 1–5, Gordon & Breach Science Publishers/CRC Press, 1988–1992, . Second revised edition (Russian), volume 1–3, Fiziko-Matematicheskaya Literatura, 2003. Yu.A. Brychkov (Ю. А. Брычков), Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas. Russian edition, Fiziko-Matematicheskaya Literatura, 2006. English edition, Chapman & Hall/CRC Press, 2008, . Daniel Zwillinger. CRC Standard Mathematical Tables and Formulae, 31st edition. Chapman & Hall/CRC Press, 2002. . (Many earlier editions as well.) Meyer Hirsch, Integral Tables, Or, A Collection of Integral Formulae (Baynes and son, London, 1823) [English translation of Integraltafeln] Benjamin O. Pierce A short table of integrals - revised edition (Ginn & co., Boston, 1899)
Kategorija:Gama i slične funkcije