Euler integrals

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