1
$\begingroup$

Simplify $\dfrac{2a\cdot\Gamma(2a)}{\Gamma(2a+1)}$.

Where $a$ is any positive real number.

$\endgroup$
2
  • $\begingroup$ Is $a$ a natural number? $\endgroup$
    – m0nhawk
    Jun 9, 2014 at 8:42
  • $\begingroup$ @some1, no a is positive real $\endgroup$
    – SA-255525
    Jun 9, 2014 at 8:43

1 Answer 1

4
$\begingroup$

It's pretty simple. Check Gamma function definition for help. Or look into spoilers for solution.

Actually, this requires only one equation related to Gamma function: $$\Gamma(1 + z) = z\Gamma(z)$$ So, the expression equals to $1$.

$\endgroup$
1
  • $\begingroup$ thanks for your help.your answer confirmed some of my results. $\endgroup$
    – SA-255525
    Jun 9, 2014 at 10:28

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.