June 2009
Intermediate to advanced
1100 pages
42h 22m
English
The beta and gamma functions, also called Euler's Integrals, are the improper integrals, which are extremely useful in the evaluation of integrals.
The integral
(1–x)n–1dx, which converges for m > 0 and n > 0 is called the beta function and is denoted by β (m, n). Thus,

Beta function is also known as Eulerian Integral of First Kind.
As an illustration, consider the integral
We can write this integral ...