In mathematics, there are two types of Euler integral:
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 and , the two integrals can be expressed in terms of factorials and binomial coefficients:
See also Leonhard Euler List of topics named after Leonhard Euler
References
External links and references
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