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

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

See also

References

  1. Jeffrey, Alan; Dai, Hui-Hui (2008). Handbook of mathematical formulas and integrals (4th ed.). Amsterdam: Elsevier Academic Press. p. 234–235. ISBN 978-0-12-374288-9. OCLC 180880679.


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