Question

What is the value of β(3,2)?

(a) \(\frac{1}{14} \)

(b) \(\frac{1}{16} \)

(c) \(\frac{1}{12} \)

(d) \(\frac{1}{10} \)

The question was posed to me by my college professor while I was bunking the class.

The origin of the question is Special Functions in section Special Functions – Gamma, Beta, Bessel and Legendre of Engineering Mathematics

Answer 1

The correct choice is (c) \(\frac{1}{12} \)

To elaborate: \(\beta(3, 2) = \frac{\Gamma(3).\Gamma(2)}{\Gamma(3+2)} \)

\( = \frac{2!1!}{4!} = \frac{1}{12}.\)