Euler integral
Encyclopedia
In mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

, there are two types of Euler integral:
  1. Euler integral
    Integral
    Integration is an important concept in mathematics and, together with its inverse, differentiation, is one of the two main operations in calculus...

     of the first kind
    : the Beta function
  2. Euler integral of the second kind: the Gamma function
    Gamma function
    In mathematics, the gamma function is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers...




    For positive integer
    Natural number
    In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...

    s m and n
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