# Euler integrals

From Encyclopedia of Mathematics

The integral

called the Euler integral of the first kind, or the beta-function, and

called the Euler integral of the second kind. (The latter converges for and is a representation of the gamma-function.)

These integrals were considered by L. Euler (1729–1731).

**How to Cite This Entry:**

Euler integrals.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Euler_integrals&oldid=16378

This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article