In mathematics, there are two types of Euler integral:[1]
- The Euler integral of the first kind is the beta function
- 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
- ↑ 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.
External links and references
- Wolfram MathWorld on the Euler Integral
- NIST Digital Library of Mathematical Functions dlmf.nist.gov/5.2.1 relation 5.2.1 and dlmf.nist.gov/5.12 relation 5.12.1
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.