6
Beta and Gamma Functions
The beta and gamma functions, also called Euler's Integrals, are the improper integrals, which are extremely useful in the evaluation of integrals.
6.1 BETA FUNCTION
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 ...
Get Engineering Mathematics now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.