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Euler integral

From Wikipedia, the free encyclopedia

In mathematics, there are two types of Euler integral:[1]

  1. The Euler integral of the first kind is the beta function
  2. The Euler integral of the second kind is the gamma function[2]

For positive integers m and n, the two integrals can be expressed in terms of factorials and binomial coefficients:

See also

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References

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  1. ^ Jeffrey, Alan; Dai, Hui-Hui (2008). Handbook of mathematical formulas and integrals (4th ed.). Amsterdam: Elsevier Academic Press. pp. 234–235. ISBN 978-0-12-374288-9. OCLC 180880679.
  2. ^ Jahnke, Hans Niels (2003). A history of analysis. History of mathematics. Providence (R.I.): American mathematical society. p. 116-117. ISBN 978-0-8218-2623-2.
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